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

Ansgar Jüngel (1) , Antoine Zurek (2)

1 TU Wien - Vienna University of Technology = Technische Universität Wien
2 Institute for Analysis and Scientific Computing [Wien]

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

Mots clés: Finite volume scheme; cross-diffusion system; entropy method

Domaines: Analyse numérique [math.NA]

Ansgar Jüngel, Antoine Zurek. A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. ⟨hal-02380352v2⟩