Entropy method for generalized Poisson-Nernst-Planck equations

DOI10.1007/s13324-018-0257-1zbMath1404.35241OpenAlexW2898886831MaRDI QIDQ1755669

José Rodrigo González Granada, Victor A. Kovtunenko

Publication date: 11 January 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0257-1

zbMATH Keywords

gradient flowentropy variablesPoisson-Nernst-Planck equationselectrokineticsFermi-Dirac statisticsGibbs simplexwell-posedness analysis

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (2)

Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions ⋮ Existence of solutions for some systems of integro-differential equations with transport and superdiffusion

Uses Software

• ddfermi

Cites Work

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