Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension

DOI10.1016/j.matpur.2020.11.002zbMath1458.35421OpenAlexW3097572271MaRDI QIDQ2224712

Tomasz Dębiec, Markus Schmidtchen, Perthame, Benoît, Nicolas Vauchelet

Publication date: 4 February 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2020.11.002

zbMATH Keywords

tumour growthincompressible limitfree-boundary problemsvisco-elastic media

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Viscoelastic fluids (76A10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Cell biology (92C37) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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