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A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems (1911.11426v1)
Published 26 Nov 2019 in math.NA and cs.NA
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.