A finite-volume scheme for a cross-diffusion model arising from\n interacting many-particle population systems

2019/11/26 by Ansgar Jüngel, Jüngel, Ansgar, Antoine Zurek +1
Earth and Planetary Sciences · Mathematics · Medicine · #35K51 #35K55 #35Q92 #65M08 #Aquatic and Environmental Studies #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Numerical Analysis (math.NA) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1911.11426

openalex publication_date 2019/11/26 · openalex created_date 2022/11/01 · openalex updated_date 2026/07/28

Abstract

A finite-volume scheme for a cross-diffusion model arising from the\nmean-field limit of an interacting particle system for multiple population\nspecies is studied. The existence of discrete solutions and a discrete entropy\nproduction inequality is proved. The proof is based on a weighted quadratic\nentropy that is not the sum of the entropies of the population species.\n

Citations

• A nonlinear time compactness result and applications to discretization\n of degenerate parabolic-elliptic PDEs

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