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

Springer Proceedings in Mathematics and Statistics (2020) 323 223-231
DOI: 10.1007/978-3-030-43651-3_19
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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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Jüngel, A., & Zurek, A. (2020). A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. In Springer Proceedings in Mathematics and Statistics (Vol. 323, pp. 223–231). Springer. https://doi.org/10.1007/978-3-030-43651-3_19

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