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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Acknowledgements
The authors acknowledge partial support from the Austrian Science Fund (FWF), grants P30000, P33010, W1245, and F65 and from the bilateral Amadée Program of the Austrian ÖAD. The authors also thank the referees for their careful reading.
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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: Klöfkorn, R., Keilegavlen, E., Radu, F.A., Fuhrmann, J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-43651-3_19
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DOI: https://doi.org/10.1007/978-3-030-43651-3_19
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