Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport

DOI10.1002/NUM.22313zbMath1418.65157arXiv1801.09408OpenAlexW2888502012WikidataQ92086887 ScholiaQ92086887MaRDI QIDQ5227265

Ansgar Jüngel, Anita Gerstenmayer, Claire Chainais-Hillairet, Clément Cancès

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09408

zbMATH Keywords

gradient flowentropy methodion transportfinite-volume methodexistence of discrete solutionsconvergence of the schemecalcium-selective ion channel

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Cell biology (92C37) Biopropulsion in water and in air (76Z10) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (9)

Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints ⋮ A convergent finite volume scheme for dissipation driven models with volume filling constraint ⋮ Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system ⋮ Analysis of a finite-volume scheme for a single-species biofilm model ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ Finite Volumes for a Generalized Poisson-Nernst-Planck System with Cross-Diffusion and Size Exclusion ⋮ About the entropic structure of detailed balanced multi-species cross-diffusion equations ⋮ A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System ⋮ Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport

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