Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models
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Publication:926310
DOI10.1007/s00605-008-0532-6zbMath1159.35008OpenAlexW2039884312MaRDI QIDQ926310
Marco Di Francesco, Marcus Wunsch
Publication date: 27 May 2008
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: http://opus.bath.ac.uk/32328/1/wunsch.pdf
Asymptotic behavior of solutions to PDEs (35B40) Statistical mechanics of semiconductors (82D37) Asymptotics of solutions to integral equations (45M05) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (5)
On uniform decay of the entropy for reaction-diffusion systems ⋮ A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations ⋮ Large-time asymptotics for a matrix spin drift-diffusion model ⋮ The relaxation limit of bipolar fluid models ⋮ Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion
Cites Work
- On large time asymptotics for drift-diffusion-poisson systems
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- LARGE TIME ASYMPTOTICS OF NONLINEAR DRIFT-DIFFUSION SYSTEMS WITH POISSON COUPLING
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
- Reaction—Diffusion Processes of Electrically Charged Species
- On singular limits of mean-field equations.
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
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