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Artykuły w czasopismach na temat "Weakly hyperbolic systems"
Arbieto, Alexander, André Junqueira i Bruno Santiago. "On Weakly Hyperbolic Iterated Function Systems". Bulletin of the Brazilian Mathematical Society, New Series 48, nr 1 (4.10.2016): 111–40. http://dx.doi.org/10.1007/s00574-016-0018-4.
Pełny tekst źródłaYONEDA, GEN, i HISA-AKI SHINKAI. "CONSTRUCTING HYPERBOLIC SYSTEMS IN THE ASHTEKAR FORMULATION OF GENERAL RELATIVITY". International Journal of Modern Physics D 09, nr 01 (luty 2000): 13–34. http://dx.doi.org/10.1142/s0218271800000037.
Pełny tekst źródłaKrylovas, A., i R. Čiegis. "Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems". Journal of Nonlinear Mathematical Physics 8, nr 4 (styczeń 2001): 458–70. http://dx.doi.org/10.2991/jnmp.2001.8.4.2.
Pełny tekst źródłaSpagnolo, Sergio, i Giovanni Taglialatela. "Analytic Propagation for Nonlinear Weakly Hyperbolic Systems". Communications in Partial Differential Equations 35, nr 12 (4.11.2010): 2123–63. http://dx.doi.org/10.1080/03605300903440490.
Pełny tekst źródłaColombini, F., i Guy Métivier. "The Cauchy problem for weakly hyperbolic systems". Communications in Partial Differential Equations 43, nr 1 (8.12.2017): 25–46. http://dx.doi.org/10.1080/03605302.2017.1399906.
Pełny tekst źródłaArbieto, Alexander, Carlos Matheus i Maria José Pacifico. "The Bernoulli Property for Weakly Hyperbolic Systems". Journal of Statistical Physics 117, nr 1/2 (październik 2004): 243–60. http://dx.doi.org/10.1023/b:joss.0000044058.99450.c9.
Pełny tekst źródłaD'Ancona, Piero, Tamotu Kinoshita i Sergio Spagnolo. "Weakly hyperbolic systems with Hölder continuous coefficients". Journal of Differential Equations 203, nr 1 (sierpień 2004): 64–81. http://dx.doi.org/10.1016/j.jde.2004.03.016.
Pełny tekst źródłaSouza, Rafael R. "Sub-actions for weakly hyperbolic one-dimensional systems". Dynamical Systems 18, nr 2 (czerwiec 2003): 165–79. http://dx.doi.org/10.1080/1468936031000136126.
Pełny tekst źródłaAlabau-Boussouira, Fatiha. "Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems". SIAM Journal on Control and Optimization 41, nr 2 (styczeń 2002): 511–41. http://dx.doi.org/10.1137/s0363012901385368.
Pełny tekst źródłaDREHER, MICHAEL, i INGO WITT. "ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER". Communications in Contemporary Mathematics 07, nr 06 (grudzień 2005): 809–37. http://dx.doi.org/10.1142/s0219199705001969.
Pełny tekst źródłaRozprawy doktorskie na temat "Weakly hyperbolic systems"
Gaito, Stephen Thomas. "Shadowing of weakly pseudo-hyperbolic pseudo-orbits in discrete dynamical systems". Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/109461/.
Pełny tekst źródłaGRIFO', Gabriele. "Pattern formation in hyperbolic reaction-transport systems and applications to dryland ecology". Doctoral thesis, Università degli Studi di Palermo, 2023. https://hdl.handle.net/10447/580054.
Pełny tekst źródłaPattern formation and modulation is an active branch of mathematics, not only from the perspective of fundamental theory but also for its huge applications in many fields of physics, ecology, chemistry, biology, and other sciences. In this thesis, the occurrence of Turing and wave instabilities, giving rise to stationary and oscillatory patterns, respectively, is theoretically investigated by means of two-compartment reaction-transport hyperbolic systems. The goal is to elucidate the role of inertial times, which are introduced in hyperbolic models to account for the finite-time propagation of disturbances, in stationary and transient dynamics, in supercritical and subcritical regimes. In particular, starting from a quite general framework of reaction-transport model, three particular cases are derived. In detail, in the first case, the occurrence of stationary patterns is investigated in one-dimensional domains by looking for the inertial dependence of the main features that characterize the formation and stability process of the emerging patterns. In particular, the phenomenon of Eckhaus instability, in both supercritical and subcritical regimes, is studied by adopting linear and multiple-scale weakly-nonlinear analysis and the role played by inertia during the transient regime, where an unstable patterned state evolves towards a more favorable stable configuration through sequences of phase-slips, is elucidated. Then, in the second topic, the focus is moved to oscillatory periodic patterns generated by wave (or oscillatory Turing) instability. This phenomenon is studied by considering 1D two-compartment hyperbolic reaction-transport systems where different transport mechanisms of the species here involved are taken into account. In these cases, by using linear and weakly nonlinear stability analysis techniques, the dependence of the non-stationary patterns on hyperbolicity is underlined at and close to the criticality. In particular, it is proven that inertial effects play a role, not only during transient regimes from the spatially-homogeneous steady state toward the patterned state but also in altering the amplitude, the wavelength, the migration speed, and even the stability of the travelling waves. Finally, in the last case, the formation and stability of stationary patterns are investigated in bi-dimensional domains. To this aim, a general class of two-species hyperbolic reaction-transport systems is deduced following the guidelines of Extended Thermodynamics theory. To characterize the emerging Turing patterns, linear and weakly nonlinear stability analysis on the uniform steady states are addressed for rhombic and hexagonal planform solutions. In order to gain some insight into the above-mentioned dynamics, the previous theoretical predictions are corroborated by numerical simulations carried out in the context of dryland ecology. In this context, patterns become a relevant tool to identify early warning signals toward desertification and to provide a measure of resilience of ecosystems under climate change. Such ecological implications are discussed in the context of the Klausmeier model, one of the easiest two-compartment (vegetation biomass and water) models able to describe the formation of patterns in semi-arid environments. Therefore, it will be also here discussed how the experimentally-observed inertia of vegetation affects the formation and stability of stationary and oscillatory periodic vegetation patterns.
Chaisemartin, Stéphane de. "Modèles eulériens et simulation numérique de la dispersion turbulente de brouillards qui s'évaporent". Thesis, Châtenay-Malabry, Ecole centrale de Paris, 2009. http://www.theses.fr/2009ECAP0011/document.
Pełny tekst źródłaThe multi-fluid model, providing a Eulerian description of polydisperse sprays, appears as an interesting method for two-phase combustion applications. Its relevance as a numerical tool for industrial device simulations is evaluated in this work. This evaluation assesses the feasibility of multi-fluid simulations in terms of computational cost and analyzes their precision through comparisons with reference methods for spray resolution. In order to define such a reference, the link between the available methods for spray resolution is provided, highlighting their corresponding level of modeling. A first framework of 2-D vortical flows is used to assess the mathematical structure of the multi-fluid model governing system of equations. The link between the mathematical peculiarities and the physical modeling is provided, and a robust numerical scheme efficient for 2-D/3-D configurations is designed. This framework is also used to evaluate the multi-fluid description of evaporating spray sizeconditioned dynamics through quantitative, time-resolved, comparisons with a Lagrangian reference and with experimental data. In order to assess the multi-fluid efficiency in configurations more representative of industrial devices, a numerical solver is designed, providing a framework devoted to spray method evaluation. An original implementation of the multifluid method, combining genericity and efficiency in a parallel framework, is achieved. The coupling with a Eulerian/Lagrangian solver for dispersed two-phase flows, developed at CORIA, is conducted. It allows a precise evaluation of Euler/Lagrange versus Euler/Euler approaches, in terms of precision and computational cost. Finally, the behavior of the multi-fluid model is assessed in 2D-jets and 3-D Homogeneous Isotropic Turbulence. It illustrates the ability of the method to capture evaporating spray dynamics in more complex configurations. The method is shown to describe accurately the fuel vapor mass fraction, a key issue for combustion applications. Furthermore, the method is shown to be efficient in domain decomposition parallel computing framework, a key issue for simulations at the scale of industrial devices
Dongmo, Nguepi Guissel Lagnol. "Modèles mathématiques et numériques avancés pour la simulation du polymère dans les réservoirs pétroliers". Electronic Thesis or Diss., université Paris-Saclay, 2021. http://www.theses.fr/2021UPASG077.
Pełny tekst źródłaAn effective technique to increase production in an oil field is to inject a mixture of water and polymer. The viscosity of polymer reduces the mobility of water, which then pushes oil better, resulting in a higher extraction rate. The numerical simulation of such an enhanced oil recovery is therefore of paramount importance. However, despite decades of research, the modeling of polymer flows in porous media and its numerical resolution remains a difficult subject.On the one hand, the models traditionally used by reservoir engineers exhibit, in the best case, resonance-like singularities that make them weakly hyperbolic. Thisdefect gives rise to some complications but remains acceptable. In the worst case, when we wish to incorporate the effect of the inaccessible pore volume (IPV), themodels become non-hyperbolic, which exacerbates the numerical instabilities that are likely to appear.On the other hand, classical numerical schemes do not yield satisfactory results. Without IPV, the excessive diffusion around the contact wave causes the most relevant information to be lost. With IPV, the existence of complex eigenvalues generates exponential instabilities at the continuous level that must be addressed at the discrete level to avoid a premature stop of the code.The objective of this thesis is to remedy these difficulties. Regarding models, we analyze several IPV laws and show an equivalence between two of them. Furthermore, we propose reasonable sufficient conditions on the IPV law to enforce weak hyperbolicity of the flow system. Regarding schemes for the problem without IPV, we advocate a correction to improve the accuracy of contact discontinuities. For the problem with IPV, we design a relaxation method that guarantees the stability of the calculations for all IPV laws
Fougeirol, Jérémie. "Structure de variété de Hilbert et masse sur l'ensemble des données initiales relativistes faiblement asymptotiquement hyperboliques". Thesis, Avignon, 2017. http://www.theses.fr/2017AVIG0417/document.
Pełny tekst źródłaGeneral relativity is a gravitational theory born a century ago, in which the universe is a 4-dimensional Lorentzian manifold (N,gamma) called spacetime and satisfying Einstein's field equations. When we separate the time dimension from the three spatial ones, constraint equations naturally follow on from the 3+1 décomposition of Einstein's equations. Constraint equations constitute a necessary condition,as well as sufficient, to consider the spacetime N as the time evolution of a Riemannian hypersurface (m,g) embeded into N with the second fundamental form K. (m,g,K) is then an element of C, the set of initial data solutions to the constraint equations. In this work, we use Robert Bartnik's method to provide a Hilbert submanifold structure on C for weakly asymptotically hyperbolic initial data, whose regularity can be related to the bounded L^{2} curvature conjecture. Difficulties arising from the weakly AH case led us to introduce two second order differential operators and we obtain Poincaré and Korn-type estimates for them. Once the Hilbert structure is properly described, we define a mass functional smooth on the submanifold C and compatible with our weak regularity assumptions. The geometrical invariance of the mass is studied and proven, only up to a weak regularity conjecture about coordinate changes near infinity. Finally, we make a correspondance between critical points of the mass and static metrics
Leguil, Martin. "Cocycle dynamics and problems of ergodicity". Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC159/document.
Pełny tekst źródłaThe following work contains four chapters: the first one is centered around the weak mixing property for interval exchange transformations and translation flows. It is based on the results obtained together with Artur Avila which strengthen previous results due to Artur Avila and Giovanni Forni. The second chapter is dedicated to a joint work with Zhiyuan Zhang, in which we study the properties of stable ergodicity and accessibility for partially hyperbolic systems with center dimension at least two. We show that for dynamically coherent partially hyperbolic diffeomorphisms and under certain assumptions of center bunching and strong pinching, the property of stable accessibility is dense in C^r topology, r>1, and even prevalent in the sense of Kolmogorov. In the third chapter, we explain the results obtained together with Julie Déserti on the properties of a one-parameter family of polynomial automorphisms of C^3; we show that new behaviours can be observed in comparison with the two-dimensional case. In particular, we study the escape speed of points to infinity and show that a transition exists for a certain value of the parameter. The last chapter is based on a joint work with Jiangong You, Zhiyan Zhao and Qi Zhou; we get asymptotic estimates on the size of spectral gaps for quasi-periodic Schrödinger operators in the analytic case. We obtain exponential upper bounds in the subcritical regime, which strengthens a previous result due to Sana Ben Hadj Amor. In the particular case of almost Mathieu operators, we also show exponential lower bounds, which provides quantitative estimates in connection with the so-called "Dry ten Martinis problem". As consequences of our results, we show applications to the homogeneity of the spectrum of such operators, and to Deift's conjecture
Fino, Ahmad. "Contributions aux problèmes d'évolution". Phd thesis, Université de La Rochelle, 2010. http://tel.archives-ouvertes.fr/tel-00437141.
Pełny tekst źródłaChen, Shih Tzung, i 陳世宗. "A WEAK AND NUMERICAL METHOD FOR SYSTEM OF HYPERBOLIC EQUATION". Thesis, 1996. http://ndltd.ncl.edu.tw/handle/41475657908484436065.
Pełny tekst źródłaSu, Ying-Chin, i 蘇萾欽. "Global Existence of Weak Solutions to the Initial-BoundaryValue Problem of Inhomogeneous Hyperbolic Systems of Conservation Laws". Thesis, 2008. http://ndltd.ncl.edu.tw/handle/24884536149658156044.
Pełny tekst źródła國立中央大學
數學研究所
96
In this article we provide a generalized version of Glimm scheme to study the global existence of weak solutions to the initial-boundary value problem of 2 by 2 hyperbolic systems of conservation laws with source terms. Due to the structure of source terms, we extend the methods invented in [10,13] to construct the weak solutions of Riemann and boundary Riemann problems, which can be dopted as a building block of the approximate solution by Glimm scheme. By modifying the results in [7] and showing the weak convergence of residuals, we establish the stability and consistency of scheme. In addition we investigate the existence of globally Lipschitz continuous solutions to a class of initial-boundary value problem of quasilinear wave equations. Applying the Lax method and generalized Glimm scheme, we construct the approximate solutions of initial-boundary Riemann problem near the boundary and perturbed Riemann problem away the boundary. By showing the weak convergence of residuals for the approximate solutions, we establish the global existence for the derivatives of solutions and obtain the existence of global Lipschitz continuous solutions of the problem.
Bira, Bibekananda. "Lie group analysis and evolution of weak waves for certain hyperbolic system of partial differential equations". Thesis, 2014. http://ethesis.nitrkl.ac.in/6604/1/B._BIRA_Ph._D._THESIS.pdf.
Pełny tekst źródłaKsiążki na temat "Weakly hyperbolic systems"
Gaito, Stephen Thomas. Shadowing of weakly pseudo-hyperbolic pseudo-orbits in discrete dynamical systems. [s.l.]: typescript, 1992.
Znajdź pełny tekst źródłaZeitlin, Vladimir. Rotating Shallow-Water Models as Quasilinear Hyperbolic Systems, and Related Numerical Methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0007.
Pełny tekst źródłaKaloshin, Vadim, i Ke Zhang. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202525.001.0001.
Pełny tekst źródłaCzęści książek na temat "Weakly hyperbolic systems"
Korsch, Andrea. "Weakly Coupled Systems of Conservation Laws on Moving Surfaces". W Theory, Numerics and Applications of Hyperbolic Problems II, 233–42. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91548-7_18.
Pełny tekst źródłaPesin, Ya B., i Ya G. Sinai. "Space-time chaos in the system of weakly interacting hyperbolic systems". W Selecta, 383–94. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-87870-6_15.
Pełny tekst źródłaJakobsen, E. R., K. H. Karlsen i N. H. Risebro. "On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations". W Hyperbolic Problems: Theory, Numerics, Applications, 553–62. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_9.
Pełny tekst źródłaHawerkamp, Maryse, Dietmar Kröner i Hanna Moenius. "Optimal Controls in Flux, Source, and Initial Terms for Weakly Coupled Hyperbolic Systems". W Theory, Numerics and Applications of Hyperbolic Problems I, 677–89. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91545-6_52.
Pełny tekst źródłaHsiao, Ling, i Hailiang Li. "Asymptotic Behavior of Entropy Weak Solution for Hyperbolic System with Damping". W Hyperbolic Problems: Theory, Numerics, Applications, 535–42. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_7.
Pełny tekst źródłaLiebscher, Stefan. "Stable, Oscillatory Viscous Profiles of Weak Shocks in Systems of Stiff Balance Laws". W Hyperbolic Problems: Theory, Numerics, Applications, 663–72. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_20.
Pełny tekst źródłaBrio, M. "Admissibility Conditions for Weak Solutions of Nonstrictly Hyperbolic Systems". W Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications, 43–50. Wiesbaden: Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-87869-4_5.
Pełny tekst źródłaFeireisl, E. "Asymptotic Properties of a Class of Weak Solutions to the Navier–Stokes–Fourier System". W Hyperbolic Problems: Theory, Numerics, Applications, 511–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75712-2_49.
Pełny tekst źródłaFloch, Philippe. "Entropy Weak Solutions to Nonlinear Hyperbolic Systems in Nonconservation Form". W Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications, 362–73. Wiesbaden: Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-87869-4_37.
Pełny tekst źródłaNdjinga, Michaël. "Weak Convergence of Nonlinear Finite Volume Schemes for Linear Hyperbolic Systems". W Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, 411–19. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05684-5_40.
Pełny tekst źródłaStreszczenia konferencji na temat "Weakly hyperbolic systems"
ORIVE, R. "WEAKLY NONLINEAR LONG-TIME BEHAVIOR OF SOLUTIONS TO A HYPERBOLIC RELAXATION SYSTEMS". W Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0111.
Pełny tekst źródłaPOPIVANOV, PETAR, i IORDAN IORDANOV. "ANOMALOUS SINGULARITIES OF THE SOLUTIONS TO SEVERAL CLASSES OF WEAKLY HYPERBOLIC SEMILINEAR SYSTEMS: EXAMPLES". W Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0079.
Pełny tekst źródłaPopivanov, Petar, i Iordan Iordanov. "On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples". W Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc60-0-16.
Pełny tekst źródłaDavlatov, Jasur, Kholmatjon Imomnazarov i Abdulkhamid Kholmurodov. "Weak approximation method for the Cauchy problem for one-dimensional hyperbolic system". W INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210419.
Pełny tekst źródłaProvotorov, V. V. "Unique weak solvability of a hyperbolic systems with distributed parameters on the graph". W 2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB). IEEE, 2018. http://dx.doi.org/10.1109/stab.2018.8408390.
Pełny tekst źródłaBock, Igor. "On the Dynamic Contact Problem for a Viscoelastic Plate". W ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24130.
Pełny tekst źródłaHaarer, D., i H. Maier. "Tunneling Dynamics and Spectral Diffusion in the Millikelvin Regime". W Spectral Hole-Burning and Related Spectroscopies: Science and Applications. Washington, D.C.: Optica Publishing Group, 1994. http://dx.doi.org/10.1364/shbs.1994.thd3.
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