Global weak solutions and asymptotic limits of a Cahn-Hilliard-Darcy system modelling tumour growth

DOI10.3934/Math.2016.3.318zbMath1434.35255arXiv1608.08758OpenAlexW2962699802MaRDI QIDQ2335192

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08758

zbMATH Keywords

weak solutions phase field model chemotaxis asymptotic analysis tumour growth convection-reaction-diffusion equation Cahn-Hilliard-Darcy system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)

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