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arXiv · 1911.11426

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

Ansgar Jüngel·Antoine Zurek
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Abstract

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.

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Ansgar Jüngel, Antoine Zurek. 2019-11-26. A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. https://arxiv.org/abs/1911.11426

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