On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials

DOI10.4310/CMS.2018.v16.n3.a11zbMath1404.35456arXiv1709.01469OpenAlexW2964078192MaRDI QIDQ1990552

Sergio Frigeri, Giulio Schimperna, Elisabetta Rocca, Kei Fong Lam

Publication date: 25 October 2018

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01469

zbMATH Keywords

tumor growthexistence of weak solutionslogarithmic potentialsnonlinear evolutionary systemCahn-Hilliard-Darcy system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) 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) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17)

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