A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model-Reference-Cited by-同舟云学术

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A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model

Published:2024-03-05 Issue:2 Volume:56 Page:2090-2114
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

David Noemi¹,Dębiec Tomasz²,Mandal Mainak³^ORCID,Schmidtchen Markus¹

Affiliation:

1. Institut Camille Jordan, Université Claude Bernard - Lyon 1, 69100 Villeurbanne, France.

2. Institute of Applied Mathematics and Mechanics, University of Warsaw, 02-097 Warsaw, Poland.

3. Institute of Scientific Computing, Faculty of Mathematics, TU Dresden, Dresden, Germany.

Funder

Université de Lyon

Agence Nationale de la Recherche

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference57 articles.

1. Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts

2. Trend to equilibrium for systems with small cross-diffusion

3. Compactness for nonlinear continuity equations

4. On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion

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