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Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

Garcke, Harald and Fong Lam, Kei (2017) Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis. Discrete & Continuous Dynamical Systems - A 37 (8), pp. 4277-4308.

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Other URL: http://doi.org/10.3934/dcds.2017183


Abstract

We consider a diffuse interface model for tumor growth consisting of a Cahn-Hilliard equation with source terms coupled to a reaction-diffusion equation, which models a tumor growing in the presence of a nutrient species and surrounded by healthy tissue. The well-posedness of the system equipped with Neumann boundary conditions was found to require regular potentials with quadratic growth. In ...

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Item type:Article
Date:2017
Institutions:Mathematics
Mathematics > Prof. Dr. Harald Garcke
Identification Number:
ValueType
10.3934/dcds.2017183DOI
Keywords:DIFFUSE INTERFACE MODEL; ACTIVE-TRANSPORT; WELL-POSEDNESS; DARCY SYSTEM; Tumor growth; phase field model; Cahn-Hilliard equation; reaction-diffusion equations; chemotaxis; weak solutions; Dirichlet boundary conditions; well-posedness; asymptotic analysis; singular potentials
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39343
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