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2020 | OriginalPaper | Chapter

A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems

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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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Metadata
Title
A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems
Authors
Ansgar Jüngel
Antoine Zurek
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-43651-3_19

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