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On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms

Garcke, Harald and Lam, Kei Fong (2016) On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms. Preprintreihe der Fakultät Mathematik 8/2016, Working Paper. (Submitted)

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Date of publication of this fulltext: 06 Mar 2017 08:27

Abstract

We study the existence of weak solutions to a mixture model for tumour growth that consists of a Cahn–Hilliard–Darcy system coupled with an elliptic reaction-diffusion equation. The Darcy law gives rise to an elliptic equation for the pressure that is coupled to the convective Cahn–Hilliard equation through convective and source terms. Both Dirichlet and Robin boundary conditions are considered ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2016
Institutions:Mathematics > Prof. Dr. Harald Garcke
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:35328
Owner only: item control page

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