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Littérature scientifique sur le sujet « Solutions with exponential growth »

Auteur : Grafiati

Publié le 9 mars 2023

Mis à jour le 10 mars 2023

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Articles de revues sur le sujet "Solutions with exponential growth"

Fattorini, H. O. « On the growth of solutions to second order differential equations in Banach spaces ». Proceedings of the Royal Society of Edinburgh : Section A Mathematics 101, n^o 3-4 (1985) : 237–52. http://dx.doi.org/10.1017/s0308210500020801.

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SynopsisWe obtain estimates for the exponential growth of the solutions to u″(t) = (A + ζ2I)u(t) in terms of the exponential growth of the solutions to u″(t) = Au(t), where ζ is an arbitrary complex number. Estimates in exponentially weighted L2 norms are also considered in Hilbert space.

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Hang, Fengbo, et Fanghua Lin. « Exponential growth solutions of elliptic equations ». Acta Mathematica Sinica, English Series 15, n^o 4 (octobre 1999) : 525–34. http://dx.doi.org/10.1007/s10114-999-0084-2.

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Popivanov, N., T. Popov et R. Scherer. « Singular solutions with exponential growth to Protter’s problems ». Siberian Advances in Mathematics 23, n^o 3 (juillet 2013) : 219–26. http://dx.doi.org/10.3103/s1055134413030073.

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Lubinsky, Doron S., et Paul Nevai. « Sub-Exponential Growth of Solutions of Difference Equations ». Journal of the London Mathematical Society s2-46, n^o 1 (août 1992) : 149–60. http://dx.doi.org/10.1112/jlms/s2-46.1.149.

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SCHEUTZOW, MICHAEL. « EXPONENTIAL GROWTH RATES FOR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS ». Stochastics and Dynamics 05, n^o 02 (juin 2005) : 163–74. http://dx.doi.org/10.1142/s0219493705001468.

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In this survey, we provide some tools to obtain estimates for the almost sure exponential growth rate of a stochastic delay differential equation (sdde) which fixes zero. In particular, we are interested in determining whether the solutions of a given sdde are exponentially stable (i.e. have a negative exponential growth rate) or not. We focus on equations without drift, which are a good testground to assess if a method is powerful enough to discriminate between stability and instability when a certain parameter (e.g. noise intensity) varies. The most powerful tool we provide is the method of Lyapunov functionals which is used to obtain upper bounds for p-th moment exponents for small (positive and negative) values of p.

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ZAIDI, A. A., et B. VAN BRUNT. « ASYMMETRICAL CELL DIVISION WITH EXPONENTIAL GROWTH ». ANZIAM Journal 63, n^o 1 (janvier 2021) : 70–83. http://dx.doi.org/10.1017/s1446181121000109.

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AbstractAn advanced pantograph-type partial differential equation, supplemented with initial and boundary conditions, arises in a model of asymmetric cell division. Methods for solving such problems are limited owing to functional (nonlocal) terms. The separation of variables entails an eigenvalue problem that involves a nonlocal ordinary differential equation. We discuss plausible eigenvalues that may yield nontrivial solutions to the problem for certain choices of growth and division rates of cells. We also consider the asymmetric division of cells with linear growth rate which corresponds to “exponential growth” and exponential rate of cell division, and show that the solution to the problem is a certain Dirichlet series. The distribution of the first moment of the biomass is shown to be unimodal.

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Zaidi, Ali, et Bruce Van Brunt. « Asymmetrical cell division with exponential growth ». ANZIAM Journal 63 (30 juillet 2021) : 70–83. http://dx.doi.org/10.21914/anziamj.v63.16116.

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An advanced pantograph-type partial differential equation, supplemented with initial and boundary conditions, arises in a model of asymmetric cell division. Methods for solving such problems are limited owing to functional (nonlocal) terms. The separation of variables entails an eigenvalue problem that involves a nonlocal ordinary differential equation. We discuss plausible eigenvalues that may yield nontrivial solutions to the problem for certain choices of growth and division rates of cells. We also consider the asymmetric division of cells with linear growth rate which corresponds to "exponential growth” and exponential rate of cell division, and show that the solution to the problem is a certain Dirichlet series. The distribution of the first moment of the biomass is shown to be unimodal. doi:10.1017/S1446181121000109

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ZHANG, ZHITAO, MARTA CALANCHI et BERNHARD RUF. « ELLIPTIC EQUATIONS IN ℝ2 WITH ONE-SIDED EXPONENTIAL GROWTH ». Communications in Contemporary Mathematics 06, n^o 06 (décembre 2004) : 947–71. http://dx.doi.org/10.1142/s0219199704001549.

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We consider elliptic equations in bounded domains Ω⊂ℝ2 with nonlinearities which have exponential growth at +∞ (subcritical and critical growth, respectively) and linear growth λ at -∞, with λ>λ1, the first eigen value of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms; one solution is negative, the other one is sign-changing. Some critical groups and Morse index of these solutions are given. Also the case λ<λ1 is considered.

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Benameur, Jamel, et Mongi Blel. « Asymptotic Study of the 2D-DQGE Solutions ». Journal of Function Spaces 2014 (2014) : 1–6. http://dx.doi.org/10.1155/2014/538374.

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We study the regularity of the solutions of the surface quasi-geostrophic equation with subcritical exponent1/2<α≤1. We prove that if the initial data is small enough in the critical spaceH˙2-2α(R2), then the regularity of the solution is of exponential growth type with respect to time and itsH˙2-2α(R2)norm decays exponentially fast. It becomes then infinitely differentiable with respect to time and has value in all homogeneous Sobolev spacesH˙s(R2)fors≥2-2α. Moreover, we give some general properties of the global solutions.

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Alves, Claudianor O., et Sérgio H. M. Soares. « Nodal solutions for singularly perturbed equations with critical exponential growth ». Journal of Differential Equations 234, n^o 2 (mars 2007) : 464–84. http://dx.doi.org/10.1016/j.jde.2006.12.006.

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Thèses sur le sujet "Solutions with exponential growth"

Sani, F. « EXPONENTIAL-TYPE INEQUALITIES IN R^N AND APPLICATIONS TO ELLIPTIC AND BIHARMONIC EQUATIONS ». Doctoral thesis, Università degli Studi di Milano, 2012. http://hdl.handle.net/2434/170626.

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Adams' inequality in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in R^n and some applications to existence and multiplicity results for elliptic and biharmonic problems involving nonlinearities with exponential growth.

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Omaba, McSylvester E. « Some properties of a class of stochastic heat equations ». Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/16338.

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We study stochastic heat equations of the forms $[\partial_t u-\sL u]\d t\d x=\lambda\int_\R\sigma(u,h)\tilde{N}(\d t,\d x,\d h),$ and $[\partial_t u-\sL u]\d t\d x=\lambda\int_{\R^d}\sigma(u,h)N(\d t,\d x,\d h)$. Here, $u(0,x)=u_0(x)$ is a non-random initial function, $N$ a Poisson random measure with its intensity $\d t\d x\nu(\d h)$ and $\nu(\d h)$ a L\'vy measure; $\tilde$ is the compensated Poisson random measure and $\sL$ a generator of a L\'{e}vy process. The function $\sigma:\R\rightarrow\R$ is Lipschitz continuous and $\lambda>0$ the noise level. The above discontinuous noise driven equations are not always easy to handle. They are discontinuous analogues of the equation introduced in \cite{Foondun} and also more general than those considered in \cite{Saint}. We do not only compare the growth moments of the two equations with each other but also compare them with growth moments of the class of equations studied in \cite{Foondun}. Some of our results are significant generalisations of those given in \cite{Saint} while the rest are completely new. Second and first growth moments properties and estimates were obtained under some linear growth conditions on $\sigma$. We also consider $\sL:=-(-\Delta)^{\alpha/2}$, the generator of $\alpha$-stable processes and use some explicit bounds on its corresponding fractional heat kernel to obtain more precise results. We also show that when the solutions satisfy some non-linear growth conditions on $\sigma$, the solutions cease to exist for both compensated and non-compensated noise terms for different conditions on the initial function $u_0(x)$. We consider also fractional heat equations of the form $ \partial_t u(t,x)=-(-\Delta)^{\alpha/2}u(t,x)+\lambda\sigma(u(t,x)\dot{F}(t,x),\,\, \text{for}\,\, x\in\R^d,\,t>0,\,\alpha\in(1,2),$ where $\dot{F}$ denotes the Gaussian coloured noise. Under suitable assumptions, we show that the second moment $\E|u(t,x)|^2$ of the solution grows exponentially with time. In particular we give an affirmative answer to the open problem posed in \cite{Conus3}: given $u_0$ a positive function on a set of positive measure, does $\sup_{x\in\R^d}\E|u(t,x)|^2$ grow exponentially with time? Consequently we give the precise growth rate with respect to the parameter $\lambda$.

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Rakesh, Arora. « Fine properties of solutions for quasi-linear elliptic and parabolic equations with non-local and non-standard growth ». Thesis, Pau, 2020. http://www.theses.fr/2020PAUU3021.

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Dans cette thèse, nous étudions les propriétés fines des solutions d'équations elliptiques et paraboliques quasi-linéaires impliquant une croissance non locale et non standard. Nous nous sommes concentrés sur trois différents types d’équations aux dérivées partielles (EDP).Dans un premier temps, nous étudions les propriétés qualitatives des solutions faibles et fortes d’équations d'évolution comportant des termes à croissance non-standard. La motivation de l'étude de ces types d'équations réside dans la modélisation de caractéristiques anisotropes se produisant dans les modèles de fluides électro-rhéologiques, la restauration d'images, le processus de filtration dans les milieux complexes, les problèmes de stratigraphie ou encore les interactions biologiques hétérogènes. Dans cette étude, nous déterminons des conditions suffisantes sur les données initiales pour obtenir l'existence et l'unicité de solution forte. Nous établissons également la régularité de second ordre de la solution forte ainsi que des résultats optimaux d'intégrabilité à l’aide de nouvelles inégalités d'interpolation.Nous étudions en outre les propriétés des solutions faibles de problèmes doublement non-linéaires impliquant premièrement une classe d'opérateurs de type Leray-Lions et une non-linéarité dans la dérivée temporelle. Nous considérons les questions d'existence, d'unicité, de régularité ainsi que de comportement à l’infini des solutions faibles de ces problèmesDans une deuxième étude, nous considérons des systèmes de type Kirchhoff impliquant des opérateurs non-linéaires de type Choquard avec des poids singuliers. Cette classe de problèmes apparaît dans de nombreux phénomènes physiques comme la variation de longueur d’une corde tendue en vibration où le terme de Kirchhoff mesure le changement de tension ou encore la propagation d’ondes électromagnétiques dans le plasma. Motivé par les nombreuses applications physiques, nous étudions cette classe d’équations et nous établissons l'existence et des résultats de non-unicité pour des systèmes impliquant le n-Laplacien et des opérateurs polyharmoniques à l’aide d’inégalités de type Adams, Moser et Trudinger.Enfin, nous étudions des problèmes singuliers impliquant des opérateurs non-locaux comme le p-Laplacien fractionnaire. Nous établissons l'existence et la multiplicité des solutions classiques dans le cas du Laplacien fractionnaire impliquant une non-linéarité exponentielle en utilisant la théorie des bifurcations. Pour caractériser le comportement des grandes solutions, nous étudions en détail les singularités isolées pour l'équation elliptique semi-linéaire singulière. Nous obtenons la symétrie de la solution classique du problème Laplacien fractionnaire grâce à la méthode du plan mobile et d’un principe du maximum. Nous étudions également le problème de p-Laplacian fractionnaire non-linéaire impliquant une non-linéarité singulière et des poids singuliers. Nous montrons l'existence/ non-existence, l'unicité et la régularité holdérienne en exploitant le comportement des solutions proche du bord du domaine et par des méthodes d'approximation
In this thesis, we study the fine properties of solutions to quasilinear elliptic and parabolic equations involving non-local and non-standard growth. We focus on three different types of partial differential equations (PDEs).Firstly, we study the qualitative properties of weak and strong solutions of the evolution equations with non-standard growth. The importance of investigating these kinds of evolutions equations lies in modeling various anisotropic features that occur in electrorheological fluids models, image restoration, filtration process in complex media, stratigraphy problems, and heterogeneous biological interactions. We derive sufficient conditions on the initial data for the existence and uniqueness of a strong solution of the evolution equation with Dirichlet type boundary conditions. We establish the global higher integrability and second-order regularity of the strong solution via proving new interpolation inequalities. We also study the existence, uniqueness, regularity, and stabilization of the weak solution of Doubly nonlinear equation driven by a class of Leray-Lions type operators and non-monotone sub-homogeneous forcing terms. Secondly, we study the Kirchhoff equation and system involving different kinds of non-linear operators with exponential nonlinearity of the Choquard type and singular weights. These type of problems appears in many real-world phenomena starting from the study in the length of the string during the vibration of the stretched string, in the study of the propagation of electromagnetic waves in plasma, Bose-Einstein condensation and many more. Motivating from the abundant physical applications, we prove the existence and multiplicity results for the Kirchhoff equation and system with subcritical and critical exponential non-linearity, that arise out of several inequalities proved by Adams, Moser, and Trudinger. To deal with the system of Kirchhoff equations, we prove new Adams, Moser and Trudinger type inequalities in the Cartesian product of Sobolev spaces.Thirdly, we study the singular problems involving nonlocal operators. We show the existence and multiplicity for the classical solutions of Half Laplacian singular problem involving exponential nonlinearity via bifurcation theory. To characterize the behavior of large solutions, we further study isolated singularities for the singular semi linear elliptic equation. We show the symmetry and monotonicity properties of classical solution of fractional Laplacian problem using moving plane method and narrow maximum principle. We also study the nonlinear fractional Laplacian problem involving singular nonlinearity and singular weights. We prove the existence, uniqueness, non-existence, optimal Sobolev and Holder regularity results via exploiting the C^1,1 regularity of the boundary, barrier arguments and approximation method

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Pereira, Denilson da Silva. « Soluções nodais para problemas elípticos semilineares com crescimento crítico exponencial ». Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7449.

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Made available in DSpace on 2015-05-15T11:46:22Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1236830 bytes, checksum: ba028274cff1ac1fffc16c7d6e148a98 (MD5) Previous issue date: 2014-12-05
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
In this work, we study existence, non-existence and multiplicity results of nodal solutions for the nonlinear Schrödinger equation (P) -u + V (x)u = f(u) in ; where is a smooth domain in R2 which is not necessarily bounded, f is a continuous function which has exponential critical growth and V is a continuous and nonnegative potential. In the first part, we prove the existence of least energy nodal solution in both cases, bounded and unbounded domain. Moreover, we also prove a nonexistence result of least energy nodal solution for the autonomous case in whole R2. In the second part, we establish multiplicity of multi-bump type nodal solutions. Finally, for V - 0, we prove a result of infinitely many nodal solutions on a ball. The main tools used are Variational methods, Lions's Lemma, Penalization methods and a process of anti-symmetric continuation.
Neste trabalho, estudamos resultados de existência, não existência e multiplicidade de soluções nodais para a equação de Schrödinger não-linear (P) -u + V (x)u = f(u) em ;onde é um domínio suave em R2 não necessariamente limitado, f é uma função que possui crescimento crítico exponencial e V é um potencial contínuo e não-negativo. Na primeira parte, mostramos a existência de soluções nodais de energia mínima em ambos os casos, domínio limitado e ilimitado. Mostramos ainda um resultado de não existência de solução nodal de energia mínima para o caso autônomo em todo o R2. Na segunda parte, estabelecemos a multiplicidade de soluções do tipo multi-bump nodal. Finalmente, para V - 0, mostramos um resultado de existência de infinitas soluções nodais em uma bola. As principais ferramentas utilizadas são Métodos Variacionais, Lema de Deformação, Lema de Lions, Método de penalização e um processo de continuação anti-simétrica.

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Hagemann, Philipp. « The exponential growth model : does theory confirm evidence ? » Master's thesis, Instituto Superior de Economia e Gestão, 2016. http://hdl.handle.net/10400.5/12971.

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Mestrado em Economia
A dissertação apresentada estuda as origens e o papel dos modelos de crescimento exponencial na teoria do crescimento. O modelo reavalia o conceito das taxas de crescimento constantes, ilustrando o último debate sobre crescimento a longo prazo e as alternativas correspondentes. Após a apresentação dos conceitos de crescimento unificados, uma análise empírica demonstra a capacidade da utilização de modelos de crescimento exponencial para contabilizar os dados do PIB per capita mundial ao longo de diferentes períodos. A dissertação mostra que o modelo exponencial é uma generalização valiosa para uma pequena amostra de países. Este demonstra ainda algumas limitações, assim que certos períodos sejam excedidos.
The presented dissertation studies the origins and role of exponential growth models in growth theory. It reassesses the concept of constant growth rates by illustrating the latest debate on long-run growth and corresponding alternatives. After the presentation of unified growth concepts, an empirical analysis demonstrates the usability of exponential growth models to count for global GDP per capita data over different periods. The dissertation shows that the exponential model is a valuable generalization for a few country samples. It further demonstrates strong limitations as soon as certain periods are exceeded.
info:eu-repo/semantics/publishedVersion

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SOAVE, NICOLA. « Variational and geometric methods for nonlinear differential equations ». Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.

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This thesis is devoted to the study of several problems arising in the field of nonlinear analysis. The work is divided in two parts: the first one concerns existence of oscillating solutions, in a suitable sense, for some nonlinear ODEs and PDEs, while the second one regards the study of qualitative properties, such as monotonicity and symmetry, for solutions to some elliptic problems in unbounded domains. Although the topics faced in this work can appear far away one from the other, the techniques employed in different chapters share several common features. In the firts part, the variational structure of the considered problems plays an essential role, and in particular we obtain existence of oscillating solutions by means of non-standard versions of the Nehari's method and of the Seifert's broken geodesics argument. In the second part, classical tools of geometric analysis, such as the moving planes method and the application of Liouville-type theorems, are used to prove 1-dimensional symmetry of solutions in different situations.

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Fischer, Manfred M., et Philipp Piribauer. « Model uncertainty in matrix exponential spatial growth regression models ». WU Vienna University of Economics and Business, 2013. http://epub.wu.ac.at/4013/1/wp158.pdf.

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This paper considers the problem of model uncertainty associated with variable selection and specification of the spatial weight matrix in spatial growth regression models in general and growth regression models based on the matrix exponential spatial specification in particular. A natural solution, supported by formal probabilistic reasoning, is the use of Bayesian model averaging which assigns probabilities on the model space and deals with model uncertainty by mixing over models, using the posterior model probabilities as weights. This paper proposes to adopt Bayesian information criterion model weights since they have computational advantages over fully Bayesian model weights. The approach is illustrated for both identifying model covariates and unveiling spatial structures present in pan-European growth data. (authors' abstract)
Series: Department of Economics Working Paper Series

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Piribauer, Philipp, et Manfred M. Fischer. « Model uncertainty in matrix exponential spatial growth regression models ». Wiley-Blackwell, 2015. http://dx.doi.org/10.1111/gean.12057.

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This paper considers the most important aspects of model uncertainty for spatial regression models, namely the appropriate spatial weight matrix to be employed and the appropriate explanatory vari- ables. We focus on the spatial Durbin model (SDM) specification in this study that nests most models used in the regional growth literature, and develop a simple Bayesian model averaging approach that provides a unified and formal treatment of these aspects of model uncertainty for SDM growth models. The approach expands on the work by LeSage and Fischer (2008) by reducing the computational costs through the use of Bayesian information criterion model weights and a matrix exponential specification of the SDM model. The spatial Durbin matrix exponential model has theoretical and computational advantages over the spatial autoregressive specification due to the ease of inversion, differentiation and integration of the matrix expo- nential. In particular, the matrix exponential has a simple matrix determinant which vanishes for the case of a spatial weight matrix with a trace of zero (LeSage and Pace 2007). This allows for a larger domain of spatial growth regression models to be analysed with this approach, including models based on different classes of spatial weight matrices. The working of the approach is illustrated for the case of 32 potential determinants and three classes of spatial weight matrices (contiguity-based, k-nearest neighbor and distance-based spatial weight matrices), using a dataset of income per capita growth for 273 European regions. (authors' abstract)

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Leuyacc, Yony Raúl Santaria. « On Hamiltonian elliptic systems with exponential growth in dimension two ». Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-02082017-150001/.

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In this work we study the existence of nontrivial weak solutions for some Hamiltonian elliptic systems in dimension two, involving a potential function and nonlinearities which possess maximal growth with respect to a critical curve (hyperbola). We consider four different cases. First, we study Hamiltonian systems in bounded domains with potential function identically zero. The second case deals with systems of equations on the whole space, the potential function is bounded from below for some positive constant and satisfies some integrability conditions, while the nonlinearities involve weight functions containing a singulatity at the origin. In the third case, we consider systems with coercivity potential functions and nonlinearities with weight functions which may have singularity at the origin or decay at infinity. In the last case, we study Hamiltonian systems, where the potential can be unbounded or can vanish at infinity. To establish the existence of solutions, we use variational methods combined with Trudinger-Moser type inequalities for Lorentz-Sobolev spaces and a finite-dimensional approximation.
Neste trabalho estudamos a existência de soluções fracas não triviais para sistemas hamiltonianos do tipo elíptico, em dimensão dois, envolvendo uma função potencial e não linearidades tendo crescimento exponencial máximo com respeito a uma curva (hipérbole) crítica. Consideramos quatro casos diferentes. Primeiramente estudamos sistemas de equações em domínios limitados com potencial nulo. No segundo caso, consideramos sistemas de equações em domínio ilimitado, sendo a função potencial limitada inferiormente por alguma constante positiva e satisfazendo algumas de integrabilidade, enquanto as não linearidades contêm funções-peso tendo uma singularidade na origem. A classe seguinte envolve potenciais coercivos e não linearidades com funções peso que podem ter singularidade na origem ou decaimento no infinito. O quarto caso é dedicado ao estudo de sistemas em que o potencial pode ser ilimitado ou decair a zero no infinito. Para estabelecer a existência de soluções, utilizamos métodos variacionais combinados com desigualdades do tipo Trudinger-Moser em espaços de Lorentz-Sobolev e a técnica de aproximação em dimensão finita.

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Harden, Lisa A. Govil N. K. « On the growth of polynomials and entire functions of exponential type ». Auburn, Ala., 2004. http://repo.lib.auburn.edu/EtdRoot/2004/FALL/Mathematics/Thesis/hardeli_58_Thesis.pdf.

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Livres sur le sujet "Solutions with exponential growth"

Pirjol, Dan. Stochastic Exponential Growth and Lattice Gases. Cham : Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-11143-3.

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Wright, Val, dir. Thoughtfully Ruthless : The Key to Exponential Growth. Hoboken, New Jersey : John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119222606.

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David, Holt. Sacred hunger : Exponential growth and the Bible. London : The Guild of Pastoral Psychology, 1999.

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United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., dir. Exponential order statistic models of software reliability growth. [Washington, D.C.] : National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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P, Banks Stephen. Exponential representation of the solutions of nonlinear differential equations. Sheffield : University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1993.

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A, Eden, dir. Exponential attractors for dissipative evolution equations. Chichester : Wiley, 1994.

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Blueprints to a billion : 7 essentials to achieve exponential growth. Hoboken, N.J : John Wiley & Sons, Inc., 2006.

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Centre for Strategic and International Studies, dir. Exponential growth and mitigating strategic in responding to Covid-19 pandemic. Jakarta], Indonesia : CSIS Indonesia, 2020.

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N, Nemeth Noel, Gyekenyesi John P et NASA Glenn Research Center, dir. Slow crack growth of brittle materials with exponential crack-velocity formulation. [Cleveland, Ohio] : National Aeronautics and Space Administration, Glenn Research Center, 2002.

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Pyke, Randall Mitchell. Nonlinear wave equations : Constraints on periods and exponential bounds for periodic solutions. Toronto : Dept. of Mathematics, University of Toronto, 1996.

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Chapitres de livres sur le sujet "Solutions with exponential growth"

Zanella, Michele. « Post-cloud Computing : Addressing Resource Management in the Resource Continuum ». Dans Special Topics in Information Technology, 105–15. Cham : Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-15374-7_9.

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AbstractThe exponential growth of interconnected IoT devices, highlights the infrastructure limitations of Cloud-based computing approaches. In this context, novel solutions (i.e., Fog and Edge computing) aim to exploit a continuum resource space composed of nearby and mobile devices as a single heterogeneous and distributed system to move part of the computation closer to data sources. In this regard, the heterogeneous nature of these devices (performance, features, capabilities...) requires proper programming models and run-time management layers. This chapter proposes an overview of recent modeling premises and quantitative results in a resource management perspective through the BarMan framework, which combines a task-based programming model, a run-time resource manager, and the BeeR task distribution software to deploy use-case applications-modules across the boards of a real Fog cluster.

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Thieringer, Florian M., Philipp Honigmann et Neha Sharma. « Medical Additive Manufacturing in Surgery : Translating Innovation to the Point of Care ». Dans Future of Business and Finance, 359–76. Cham : Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-99838-7_20.

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AbstractAlongside computed tomography, additive manufacturing (also known as three-dimensional or 3D printing) is a significant MedTech innovation that allows the fabrication of anatomical biomodels, surgical guides, medical/dental devices, and customized implants. Available since the mid-1980s, 3D printing is growing increasingly important in medicine by significantly transforming today’s personalized medicine era. 3D printing of biological tissues will provide a future for many patients, eventually leading to the printing of human organs. Unlike subtractive manufacturing (where the material is removed and 3D objects are formed by cutting, drilling, computer numerical control milling, and machining), the critical driver for the exponential growth of 3D printing in medicine has been the ability to create complex geometric shapes with a high degree of functionality. 3D printing also offers the advantage of developing highly customized solutions for patients that cannot be achieved by any other manufacturing technology.

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Welz, Bernd, et Ann Rosenberg. « Exponential Growth ». Dans SAP Next-Gen, 31–35. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72574-1_3.

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Dunford, James C., Louis A. Somma, David Serrano, C. Roxanne Rutledge, John L. Capinera, Guy Smagghe, Eli Shaaya et al. « Exponential Growth ». Dans Encyclopedia of Entomology, 1380. Dordrecht : Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-6359-6_3722.

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Xiao, Ti-Jun, et Jin Liang. « Exponential growth bound and exponential stability ». Dans The Cauchy Problem for Higher Order Abstract Differential Equations, 177–97. Berlin, Heidelberg : Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-540-49479-9_5.

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Lubotzky, Alexander, et Dan Segal. « Groups with Exponential Subgroup Growth ». Dans Subgroup Growth, 51–72. Basel : Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8965-0_4.

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Tallarida, Ronald J., et Rodney B. Murray. « Exponential Growth and Decay ». Dans Manual of Pharmacologic Calculations, 75–77. New York, NY : Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4974-0_25.

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Hobbie, Russell K., et Bradley J. Roth. « Exponential Growth and Decay ». Dans Intermediate Physics for Medicine and Biology, 33–51. Cham : Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12682-1_2.

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Pirjol, Dan. « Stochastic Growth Processes with Exponential Growth Rates ». Dans Stochastic Exponential Growth and Lattice Gases, 19–37. Cham : Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-11143-3_2.

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Pirjol, Dan. « Introduction to Stochastic Exponential Growth ». Dans Stochastic Exponential Growth and Lattice Gases, 1–17. Cham : Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-11143-3_1.

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Actes de conférences sur le sujet "Solutions with exponential growth"

Balint, Stefan, et Agneta M. Balint. « Non Lyapunov stability of the constant spatially developing 1-D gas flow in presence of solutions having strictly positive exponential growth rate ». Dans ICNPAA 2016 WORLD CONGRESS : 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2017. http://dx.doi.org/10.1063/1.4972604.

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Wang, Moran, Qinjun Kang et Hari Viswanathan. « Electroosmosis of Dilute Electrolyte Solutions in Microporous Media ». Dans ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18368.

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The multiphysiochemical transport in electroosmosis of dilute electrolyte solutions (<1mM) through microporous media with granular random structures has been modeled in this work by our numerical framework consisting of three steps. First, the three-dimensional microstructures of porous media are reproduced by a random generation-growth method. Then the effects of chemical adsorption and electrical dissociation at the solid-liquid interfaces are considered to determine the electrical boundary conditions, which vary with the ionic concentration, the pH, and the temperature. Finally the nonlinear governing equations for the electrokinetic transport are solved by a highly efficient lattice Poisson-Boltzmann algorithm. The simulation results indicate that the electroosmotic permeability through the granular microporous media increases monotonically with the porosity, the ionic concentration, the pH and the environmental temperature. When the surface electric potential is higher than 50 mV, the permeability increases with the electric potential exponentially. The electroosmotic permeability increases with the pH exponentially, but with the temperature linearly. The present modeling results may improve our understanding of hydrodynamic and electrokinetic transport in geophysical systems, and help guide the design of porous electrodes in micro energy systems.

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Campbell, Bryce K., Kelli Hendrickson, Yuming Liu et Randy Roberts. « Nonlinear Effects on Interfacial Wave Growth Into Slug Flow ». Dans ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79397.

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The objective of this study is to understand the effects of non-linearity on the interfacial stability of a two fluid stratified flow through a horizontal channel. An efficient perturbation expansion based high-order spectral method is developed, for the simulation of the generation and nonlinear evolution of interfacial waves. The method is capable of accounting for the nonlinear interactions of a large number of wave components in a broadband spectrum, and obtains an exponential convergence of the solution with grid refinement and interaction order. The method is applied to investigate the role that nonlinear effects have on the initial development of Kelvin-Helmholtz (KH) instabilities and nonlinear wave-wave interactions with the purpose of gaining insight into the physical mechanisms which cause slug flow. It will also be demonstrated that nonlinearity can introduce unstable inter-facial wave growth in regions predicted to be stable by linear analysis. In addition, it is shown that energy transfer from short (KH unstable) waves to long (KH stable) waves due to nonlinear resonant wave-wave interactions is an effective mechanism for the development of slug flow.

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Tahvildari, Navid, et Mirmosadegh Jamali. « Analytical Cubic Solution to Weakly Nonlinear Interactions Between Surface and Interfacial Waves ». Dans ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-80120.

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Resonant interaction between one surface wave and two oblique interfacial waves is analyzed in a three dimensional system of a finite-depth, two-layer fluid. A third order perturbation analysis is carried out to obtain the evolution equations of the waves amplitudes. Taking the waves amplitudes as the perturbation small parameter, the evolution equations of the waves are solved simultaneously to obtain the short and long term behavior of the interfacial waves. In contrast to the second order analysis, the current analysis shows that after an initial exponential growth period, the interfacial waves stop growing and stabilize. Furthermore, the influences of surface wave frequency, density ratio and viscosity in the resonant interaction are investigated. Finally, the analytical results are compared with previous experimental observations.

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Tirosh, Oren, Muhammad Nadeem Shuakat, John Zelcer et Nilmini Wickramasinghe. « Clinical Tele-Assessment : The Missing Piece in Health Care Pathways for Orthopaedics ». Dans Digital Support from Crisis to Progressive Change. University of Maribor Press, 2021. http://dx.doi.org/10.18690/978-961-286-485-9.4.

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An aging population coupled with longer life expectancy has resulted in an exponential growth in total hip and total knee replacements (THR) (TKR). Especially during the 2020 COVID-19 pandemic, support for patients recovering form THR and TKR was difficult due to reduction in face-toface visits. To address this and enable Australians to have a better patient experience, the following proffers a tele-assessment solution, ARIADNE (Assist foR hIp AnD kNEe), that can provide high quality care, with access for all and support for high value outcomes.

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Gu, Zhipeng, Jong-Leng Liow et Guofeng Zhu. « Investigation on the Droplet Formation Time With Xanthan Gum Solutions at a T-Junction ». Dans ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72133.

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Xanthan gum solutions with various concentrations were used as the dispersed phase to study the formation time for drop formation at a T-junction. Two critical concentrations (0.05 and 0.2 wt%) of xanthan gum solutions were observed resulting in three distinct regimes. The droplet diameter increased with increasing xanthan gum concentration within each regime but the transition through each critical concentration was accompanied by a significant reduction in the droplet size. Experimental results showed that the droplet formation time decreased exponentially with increasing continuous phase flow rate. It was also found that the formation time was reduced with increasing dispersed phase flow rate. Xanthan gum solutions with a higher concentration within each regime resulted in a longer formation time, and there was a decrease in the formation time at each critical concentration. The formation time consists of growth and breakup stages and the effect of xanthan gum concentration on each stage was examined.

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Finnis, M. V., et A. Brown. « The Streamwise Development of Görtler Vortices in a Favorable Pressure Gradient ». Dans ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/94-gt-166.

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Measurements are presented of the streamwise velocity variation within a laminar boundary layer on a concave surface of 4 m radius of curvature for which the free-stream velocity gradient factor ν/U02dU0/dx was approximately 1 × 10−6. The velocity variation was consistent with the presence of counter-rotating vortices resulting from the Görtler instability. The vortices exhibited exponential growth over the streamwise extent of the measurements to a disturbance amplitude of approximately 13% of the local freestream velocity. The vortex growth rates were found to be less than those for a zero velocity gradient factor indicating that a favorable pressure gradient stabilizes the flow with respect to the Görtler instability. Boundary layer profiles at local upwash and downwash positions are compared with the linear theory for which the mean flow was modelled using the Pohlhausen approximation to the solution of the boundary layer equations. The agreement between the measured and predicted profiles indicates that the linear stability theory can provide a fair approximation to the small amplitude growth of the Görtler instability.

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Maloney, Jessica. « Exponential Growth ». Dans ACM SIGGRAPH 2006 Art gallery. New York, New York, USA : ACM Press, 2006. http://dx.doi.org/10.1145/1178977.1179049.

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Barrera, Edison, Andres Nunez, Kamal Atriby, Mauricio Corona, Mohamed AlMahroos et Arnott Evert Dorantes Garcia. « Pioneering Integrative Solution for Enhancing Wellbore Quality Thru the Application of Multiple Real Time Monitoring Services in Deviated and Lateral Sections in Deep Gas Wells ». Dans SPE Middle East Oil & Gas Show and Conference. SPE, 2021. http://dx.doi.org/10.2118/204790-ms.

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Abstract In the Oil and Gas industry, there is a constant look for time and cost savings through performance enhancement and risk reduction. Not less important, wellbore quality becomes a crucial factor across target production intervals which enable safe and optimum completion operations in the well. While the techniques to drill wells constantly evolve, technology is advancing at faster pace every year. The application of new tools and digital technologies is the step change from progessive growth to exponential increase in performance. This paper contains a detailed description of a successful implementation of a combined integrated strategy, including the procedures established to maximize both; performance and wellbore quality in highly deviated and lateral horizontal sections in deep gas wells in a giant gas field in the Middle East. It describes the application of specific technologies that helped to improve wellbore quality and allowed corrections in Real Time.

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Talnikar, Chaitanya, Qiqi Wang et Gregory M. Laskowski. « Unsteady Adjoint of Pressure Loss for a Fundamental Transonic Turbine Vane ». Dans ASME Turbo Expo 2016 : Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56689.

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High fidelity simulations, e.g., large eddy simulation are often needed for accurately predicting pressure losses due to wake mixing and boundary layer development in turbomachinery applications. An unsteady adjoint of high fidelity simulations is useful for design optimization in such aerodynamic applications. In this paper we present unsteady adjoint solutions using a large eddy simulation model for a vane from VKI using aerothermal objectives. The unsteady adjoint method is effective in capturing the gradient for a short time interval aerothermal objective, whereas the method provides diverging gradients for long time-averaged thermal objectives. As the boundary layer on the suction side near the trailing edge of the vane is turbulent, it poses a challenge for the adjoint solver. The chaotic dynamics cause the adjoint solution to diverge exponentially from the trailing edge region when solved backwards in time. This results in the corruption of the sensitivities obtained from the adjoint solutions. An energy analysis of the unsteady compressible Navier-Stokes adjoint equations indicates that adding artificial viscosity to the adjoint equations can dissipate the adjoint energy while potentially maintain the accuracy of the adjoint sensitivities. Analyzing the growth term of the adjoint energy provides a metric for identifying the regions in the flow where the adjoint term is diverging. Results for the vane from simulations performed on the Titan supercomputer are demonstrated.

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Rapports d'organisations sur le sujet "Solutions with exponential growth"

Jones, Charles. Recipes and Economic Growth : A Combinatorial March Down an Exponential Tail. Cambridge, MA : National Bureau of Economic Research, janvier 2021. http://dx.doi.org/10.3386/w28340.

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Goda, Gopi Shah, Matthew Levy, Colleen Flaherty Manchester, Aaron Sojourner et Joshua Tasoff. The Role of Time Preferences and Exponential-Growth Bias in Retirement Savings. Cambridge, MA : National Bureau of Economic Research, août 2015. http://dx.doi.org/10.3386/w21482.

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Mickens, Ronald, et Kale Oyedeji. Exponential and Separation of Variables Exact Solutions to the Linear, Delayed, Unidirectional Wave Equation. Atlanta University Center Robert W. Woodruff Library, 2019. http://dx.doi.org/10.22595/cau.ir:2020_mickens_oyedeji_exponential.

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Miller, P. Some Equilibria Aspects of KDP Growth Solutions. Office of Scientific and Technical Information (OSTI), septembre 2014. http://dx.doi.org/10.2172/1165788.

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Goda, Gopi Shah, Colleen Flaherty Manchester et Aaron Sojourner. What Will My Account Really Be Worth ? An Experiment on Exponential Growth Bias and Retirement Saving. Cambridge, MA : National Bureau of Economic Research, mars 2012. http://dx.doi.org/10.3386/w17927.

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Ketterer, Juan, Adrián Ortega Andrade, Juan Martínez Álvarez et Daniel Fonseca. Financial Solutions for Development : National Infrastructure Platforms. Inter-American Development Bank, décembre 2022. http://dx.doi.org/10.18235/0004654.

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This paper presents a new public policy instrument, national infrastructure platforms (NIPs), to promote investment in sustainable infrastructure in Latin America and the Caribbean. The region has important infrastructure deficits that limit its ability to meet challenges of economic growth, climate change, and social inclusion and equality. NIPs will allow countries to maximize the use of public, multilateral, and concessional financing resources to promote socioeconomic development. Specifically, since the infrastructure challenges of the region will not be met with public funding, NIPs will permit countries to optimize the role of public investment as a financial enabler for private investment, prioritizing climate change resilience through sustainable infrastructure. This document outlines the structure of NIPs and their three main functions: project preparation, de-risking, and financial structuring. These respectively identify and prioritize projects, incorporate the necessary risk mitigation instruments, and structure and deliver bankable projects until they successfully reach their commercial and financial closing stages.

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Yao, Yixin, Mingyuan Fan, Arnaud Heckmann et Corazon Posadas. Transformative Solutions and Green Finance in the People’s Republic of China and Mongolia. Asian Development Bank Institute, novembre 2022. http://dx.doi.org/10.56506/xfvh2542.

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Asia has experienced widespread transformation and growth, accompanied by increased demographic pressure, greater intensification of agricultural production, industrialization, and urbanization. This economic growth has been very resource- and carbon-intensive, while climate change has triggered or exacerbated behaviors and defense mechanisms that have come at the expense of the natural environment. Therefore, we examine and compare three Asian Development Bank (ADB) projects in two member countries of the Central Asia Regional Economic Cooperation: one in the People’s Republic of China (PRC) and two in Mongolia that relate to sustainable green development and use innovative financial mechanisms, and behavior-changing nudges. We provide comparative analyses and aim to demonstrate effective, innovative, and sustainable green finance and green transformation approaches in these two countries to address these pressures. The ADB–PRC loan for the Anhui Huangshan Xin’an River Ecological Protection and Green Development project aims to help Huangshan municipality reduce water pollution in the Xin’an River Basin, which is part of the Yangtze River Economic Belt. The project is piloting innovative green financing mechanisms to reduce rural pollution and complement the ongoing interprovincial eco-compensation scheme while supporting green agroecological businesses through two interventions: the Green Investment Fund and the Green Incentive Mechanism. In Mongolia, ADB and the Government of Mongolia have developed two large-scale transformative projects using integrated design and innovative green financing mechanisms to leverage private sector investment: (i) Aimags and Soums Green Regional Development Investment Program, which aims to promote green urban–rural linkages, green agribusiness development, natural capital, rangeland regeneration, and soil carbon sequestration through the (ii) Ulaanbaatar Green Affordable Housing and Resilient Urban Renewal Project, which aims to transform Ulaanbaatar’s vulnerable and substandard peri-urban areas into low-carbon, resilient eco-districts that provide access to green affordable housing.

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Ferryman, Kadija. Framing Inequity in Health Technology : The Digital Divide, Data Bias, and Racialization. Just Tech, Social Science Research Council, février 2022. http://dx.doi.org/10.35650/jt.3018.d.2022.

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" Since 2010, there has been an exponential growth in health data and health information technologies, such as electronic health records (EHRs), and AI-enabled medical tools. Despite the growth and investment in these technologies, they have had few positive effects on health outcomes, especially for marginalized populations. This review begins by addressing common rhetorical and ethical responses to inequities in health technologies, such as the digital divide and data bias frames. It then problematizes both approaches before proposing that examining racialization, or the creation and circulation of racial hierarchies, can contribute to a more comprehensive framework for facilitating health equity in health information technology."

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Peña, Ignacio, Tomás Gutiérrez et Milagros Gutiérrez. A Bridge to the Future : How the Rise of the Miami Startup Ecosystem can Become a Platform to Transform the Americas. Inter-American Development Bank, octobre 2021. http://dx.doi.org/10.18235/0003724.

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This study analyzes the rise of the Miami startup ecosystem and the opportunities for mutual benefit engendered by a strong connection with Latin America and the Caribbean (LAC). The exponential technology revolution and the boom of the LAC startup ecosystem creates a massive opportunity to build a talent-driven network of startup and knowledge ecosystems that could generate trillions of dollars in value and millions of employment, while igniting the industries of the future across the Hemisphere. The recent rise of the Greater Miami area's innovation ecosystem opens the possibility to unleash value and growth through building a bridge that connects ecosystems across the Americas.

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zur Loye, Hans-Conrad. A Synthetic Strategy to Prepare New Complex Uranium- and Thorium-Containing Oxides : Predictive Solid State Synthesis of New Composition using Radius Ratio Rules and Materials Discovery based on Crystal Growth from High Temperature Solutions. Office of Scientific and Technical Information (OSTI), octobre 2018. http://dx.doi.org/10.2172/1476440.

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