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

URN to cite this document:
Garcke, Harald ; Lam, Kei Fong
Date of publication of this fulltext: 06 Mar 2017 08:27


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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