Two positive solutions for a nonlinear four-point boundary value problem with a p-Laplacian operator.
Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations
We deal with boundary layers and quasi-neutral limits in the drift-diffusion equations. We first show that this limit is unique and determined by a system of two decoupled equations with given initial and boundary conditions. Then we establish the boundary layer equations and prove the existence and uniqueness of solutions with exponential decay. This yields a globally strong convergence (with respect to the domain) of the sequence of solutions and an optimal convergence rate to the quasi-neutral...
Solutions faibles globales pour un modèle d'écoulements diphasiques
Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations
We deal with boundary layers and quasi-neutral limits in the drift-diffusion equations. We first show that this limit is unique and determined by a system of two decoupled equations with given initial and boundary conditions. Then we establish the boundary layer equations and prove the existence and uniqueness of solutions with exponential decay. This yields a globally strong convergence (with respect to the domain) of the sequence of solutions and an optimal convergence rate to the quasi-neutral...
Minimum Steiner Trees in Normed Planes.
Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
Global BV solutions for a model of multi-species mixture in porous media
Problème de Riemann généralisé pour une sorte de systémes des cables
A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
We introduce a finite volume scheme for multi-dimensional drift-diffusion equations. Such equations arise from the theory of semiconductors and are composed of two continuity equations coupled with a Poisson equation. In the case that the continuity equations are non degenerate, we prove the convergence of the scheme and then the existence of solutions to the problem. The key point of the proof relies on the construction of an approximate gradient of the electric potential which allows us to deal...
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
We introduce a finite volume scheme for multi-dimensional drift-diffusion equations. Such equations arise from the theory of semiconductors and are composed of two continuity equations coupled with a Poisson equation. In the case that the continuity equations are non degenerate, we prove the convergence of the scheme and then the existence of solutions to the problem. The key point of the proof relies on the construction of an approximate gradient of the electric potential which allows us to deal...
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