Analysis of a degenerate parabolic cross-diffusion system for ion transport
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Publication:1706377
DOI10.1016/j.jmaa.2018.01.024OpenAlexW2963472931WikidataQ130152093 ScholiaQ130152093MaRDI QIDQ1706377
Anita Gerstenmayer, Ansgar Jüngel
Publication date: 22 March 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07261
free energyexistence of weak solutionsentropy methoduniqueness of weak solutionsion transportfinite-volume approximation
Related Items (9)
Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites ⋮ Finite Volumes for a Generalized Poisson-Nernst-Planck System with Cross-Diffusion and Size Exclusion ⋮ Large-time asymptotics for degenerate cross-diffusion population models with volume filling ⋮ Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion ⋮ Entropy method for generalized Poisson-Nernst-Planck equations ⋮ Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method ⋮ A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System ⋮ Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport ⋮ Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport
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