Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms
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Publication:5037294
DOI10.1080/03605302.2021.1966803zbMath1484.35148arXiv2105.09068OpenAlexW3198397443MaRDI QIDQ5037294
Publication date: 28 February 2022
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.09068
tumor growthDarcy's lawmultiphase modelconvective Cahn-Hilliard equationBrinkman's lawlimit of vanishing viscosities
Initial-boundary value problems for higher-order parabolic equations (35K35) Medical applications (general) (92C50) Stokes and related (Oseen, etc.) flows (76D07) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
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