Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion

DOI10.3934/dcds.2016.36.2915zbMath1338.35058arXiv1503.04029OpenAlexW3102941771MaRDI QIDQ256252

Jonathan Zinsl

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04029

zbMATH Keywords

Wasserstein metricgradient flowconfinementexponential convergence to equilibriumPoisson-Nernst-Planck system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Initial value problems for second-order parabolic systems (35K45)

Related Items (3)

Exponential Convergence to Equilibrium for Coupled Systems of Nonlinear Degenerate Drift Diffusion Equations ⋮ Large-time asymptotics for degenerate cross-diffusion population models with volume filling ⋮ On a drift-diffusion system for semiconductor devices

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