Academic literature on the topic 'Système d'EDP'
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Journal articles on the topic "Système d'EDP":
Serre, Denis. "Systèmes d'EDO invariants sous l'action de systèmes hyperboliques d'EDP." Annales de l’institut Fourier 39, no. 4 (1989): 953–68. http://dx.doi.org/10.5802/aif.1196.
Mercier, Denis. "Problèmes de transmission sur des réseaux polygonaux pour des systèmes d'EDP." Annales de la faculté des sciences de Toulouse Mathématiques 10, no. 1 (2001): 107–62. http://dx.doi.org/10.5802/afst.986.
Cosson, Arnaud, Clara Therville, Raphaël Mathevet, Isabelle Arpin, and Frédéric Bioret. "Dynamiques d'intégration des espaces naturels protégés en France : une approche comparative entre parcs nationaux et réserves naturelles." Natures Sciences Sociétés 25, no. 3 (July 2017): 230–40. http://dx.doi.org/10.1051/nss/2017051.
Marchionne, Silvia. "Vocational Educational Training (VET) in Tunisia: Barriers and Challenges to its Internationalization and Possible Solutions to Boost Socio-Economic Development of the Country." Frontiers: The Interdisciplinary Journal of Study Abroad 35, no. 3 (November 15, 2023): 208–37. http://dx.doi.org/10.36366/frontiers.v35i3.837.
Dissertations / Theses on the topic "Système d'EDP":
Binard, Julie. "Modélisation, analyse et simulation de modèles en géomorphologie." Electronic Thesis or Diss., Université de Toulouse (2023-....), 2024. http://www.theses.fr/2024TLSEI001.
The study of landscape formation and evolution is a fundamental question in geomorphology. The work carried out in this thesis is devoted to the mathematical study of a landscape evolution model. Landform evolves in time due to erosion and sedimentation, caused by the flow of water over the ground surface. In particular, one of the objectives is to identify the processes involved in the formation of channels and patterns on the ground surface.In the introductory chapter, the model is derived from physical laws. It is a system composed of three partial differential equations, describing the fluid height, the concentration of sediments, and the surface elevation. In the second chapter, a mathematical study of the system is conducted. The existence and uniqueness of solutions to this system is proved. A study of the spectral stability of some stationary solutions is conducted, which allows determining the role of parameters in the appearance of patterns in the soil and providing information about their form. In particular, a necessary and sufficient condition for stability at all frequencies is given. The third chapter introduces a numerical particle method, for a class of stationary hyperbolic equations. The convergence of the numerical scheme is proven, and an error estimate is given. This stationary particle method is then applied to solve the equations for water height and sediment concentration, when water is in a stationary regime
Bréhier, Charles-Edouard. "Analyse numérique d'EDP Stochastiques hautement oscillantes." Phd thesis, École normale supérieure de Cachan - ENS Cachan, 2012. http://tel.archives-ouvertes.fr/tel-00763340.
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.
General 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
Filali, Siham. "Application du calcul stochastique à une classe d'EDP nonlinéaires." Lille 1, 2005. https://pepite-depot.univ-lille.fr/RESTREINT/Th_Num/2005/50376-2005-266.pdf.
Filali, Siham. "Application du calcul stochastique à une classe d'EDP non linéaire." Phd thesis, Université des Sciences et Technologie de Lille - Lille I, 2005. http://tel.archives-ouvertes.fr/tel-00012025.
obtenir l'existence et l'unicité de la solution d'un système d'équations aux
dérivées partielles non linéaire dont l'origine remonte à l'étude des modèles de particules collantes.
Premièrement, on construit deux diffusions dirigées par des browniens indépendants issues de points différents mais dont la dérive est la même fonction qui combine les deux densités de l'une et l'autre diffusions. On montre que le bonne combinaison de la densité et de la vitesse des particules est solution d'un système d'équations aux dérivées partielles appelé système de gaz sans pression avec viscosité.
Deuxièmement, On reprend la problématique d'un article de Sheu sur les densités de transition d'une diffusion non dégénéré, on aboutit à une meilleure précision sur les constantes apparaissant dans l'estimation de Sheu.
Finalement, on généralise le système de gaz sans pression déjà étudié par A. Dermoune en 2003, en remplaçant le laplacien par un opérateur plus générale. Alors on montre: l'existence d'une solution faible pour une équation différentielles stochastique non linéaire, identification de la dérive et l'unicité de la solution.
Takahashi, Takéo. "Analyse théorique, analyse numérique et contrôle de systèmes d'interaction fluide-structure et de systèmes de type ondes." Habilitation à diriger des recherches, Université Henri Poincaré - Nancy I, 2008. http://tel.archives-ouvertes.fr/tel-00590675.
Le, cavil Anthony. "Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLY023.
This thesis performs forward probabilistic representations of nonlinear and nonconservative Partial Differential Equations (PDEs), which allowto numerically estimate the corresponding solutions via an interacting particle system algorithm, mixing Monte-Carlo methods and non-parametric density estimates.In the literature, McKean typeNonlinear Stochastic Differential Equations (NLSDEs) constitute the microscopic modelof a class of PDEs which are conservative. The solution of a NLSDEis generally a couple $(Y,u)$ where $Y$ is a stochastic process solving a stochastic differential equation whose coefficients depend on $u$ and at each time $t$, $u(t,cdot)$ is the law density of the random variable $Y_t$.The main idea of this thesis is to consider this time a non-conservative PDE which is the result of a conservative PDE perturbed by a term of the type $Lambda(u, nabla u) u$. In this case, the solution of the corresponding NLSDE is again a couple $(Y,u)$, where again $Y$ is a stochastic processbut where the link between the function $u$ and $Y$ is more complicated and once fixed the law of $Y$, $u$ is determined by a fixed pointargument via an innovating Feynmann-Kac type formula
Zekraoui, Salim. "Contrôle et estimation en temps fini de certaines classes d'EDP." Electronic Thesis or Diss., Centrale Lille Institut, 2023. http://www.theses.fr/2023CLIL0028.
This Ph.D. thesis is devoted to the problems of non-asymptotic (finite, fixed, prescribed-time) estimation and stabilization of some classes of infinite-dimensional systems, namely LTI systems subject to input/sensor (pointwise or distributed) delays and reaction-diffusion PDEs. As the existing results on these classes of systems are few, we begin by reviewing relevant concepts and results on non-asymptotic tools (including homogeneity-based tools and time-varying tools) for finite-dimensional systems. Afterward, we extend these tools to infinite-dimensional settings. Firstly, we start with the problem of input and sensor delay compensation in finite/fixed/prescribed time of LTI systems where we use the so-called backstepping approach for PDEs (with some nonlinear and/or time-varying invertible transformations). To apply this approach, we reformulate the considered LTI system into a cascade ODE-PDE system where the PDE part is a hyperbolic transport equation that models the effect of the delay on the input/output. Secondly, we consider the problem of boundary state-dependent finite/fixed-time stabilization of reaction-diffusion PDEs. To the best of our knowledge, this problem has remained open in the literature for a considerable long time. We tackle this challenging problem using classical methods related to Control Lyapunov functions. We provide some hints on how we to extend this approach to input-to-state stabilization and non-asymptotic tracking problem for reaction-diffusion PDEs. We point out the limitations of our approach to observer design. Finally, we tackle the problem of input delay compensation of reaction-diffusion systems in prescribed time by output feedback using the backstepping approach. This problem is challenging, as one deals with observer and control designs with some time-varying gains that go to infinity when the time gets closer to the prescribed time of convergence, which brings additional challenges and issues. Dealing with these challenges requires introducing novel infinite-dimensional time-varying backstepping transformations in conjunction with advanced predictor-based concepts adapted to parabolic PDEs
Aoun, Mirella. "Analyse et analyse numérique d'EDP issues de la thermomécanique des fluides." Electronic Thesis or Diss., Normandie, 2023. http://www.theses.fr/2023NORMR093.
In this thesis, we focus on nonlinear evolutionary systems derived from a non-isothermal solidification problem with melt convection. These systems consist of three partial differential equations. The first is the phase-field equation coupled with the heat equation and the incompressible Navier-Stokes equation. More precisely, we are interested in the existence of solutions for these types of systems in the two-dimensional and the three-dimensional cases, and in the convergence of a finite volume approximation. One of the particularities of this type of system is the presence of a term naturally in L^1 in the energy conservation equation, which requires special treatment.This thesis is divided into two parts.The first part is divided into two chapters and is devoted to the study of problems with L^1 data and Neumann-type boundary conditions. To deal with these problems, and with data that are not very regular, we use the framework of renormalized solutions.In the first chapter, we establish a convergence result for solutions approximated by the finite volume method to the unique renormalized solution with zero median in the case of an elliptic convection-diffusion equation. In the second chapter, we focus on a non-linear parabolic problem with non-homogeneous Neumann conditions and a convection term. For this problem, we provide a definition of a renormalized solution and we show the existence and uniqueness of such a solution.The second part is devoted to the study of the system in dimensions 2 and 3. The first chapter deals with the dimension 2 and defines the notion of weak--renormalized solutions. With the help of the existence and stability results established in the first part for the conservation of energy equation, we prove the existence of a weak--renormalized solution.The final chapter considers the trickier case of dimension 3. The absence of a general stability and uniqueness result for the 3-dimensional Navier-Sokes equation requires us to transform the system into a formally equivalent one. By approximation and passage to the limit, we prove the existence of a solution in a weak sense
Le, cavil Anthony. "Représentation probabiliste de type progressif d'EDP nonlinéaires nonconservatives et algorithmes particulaires." Electronic Thesis or Diss., Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLY023.
This thesis performs forward probabilistic representations of nonlinear and nonconservative Partial Differential Equations (PDEs), which allowto numerically estimate the corresponding solutions via an interacting particle system algorithm, mixing Monte-Carlo methods and non-parametric density estimates.In the literature, McKean typeNonlinear Stochastic Differential Equations (NLSDEs) constitute the microscopic modelof a class of PDEs which are conservative. The solution of a NLSDEis generally a couple (Y,u) where Y is a stochastic process solving a stochastic differential equation whose coefficients depend on u and at each time t, u(t,.) is the law density of the random variable Yt.The main idea of this thesis is to consider this time a non-conservative PDE which is the result of a conservative PDE perturbed by a term of the type Lambda(u, nabla u) u. In this case, the solution of the corresponding NLSDE is again a couple (Y,u), where again Y is a stochastic processbut where the link between the function u and Y is more complicated and once fixed the law of Y, u is determined by a fixed pointargument via an innovating Feynmann-Kac type formula