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Analysis of a Cahn–Hilliard–Brinkman model for tumour growth with chemotaxis

Ebenbeck, Matthias ; Garcke, Harald



Abstract

Phase field models recently gained a lot of interest in the context of tumour growth models. Typically Darcy-type flow models are coupled to Cahn-Hilliard equations. However, often Stokes or Brinkman flows are more appropriate flow models. We introduce and mathematically analyse a new Cahn-Hilliard-Brinkman model for tumour growth allowing for chemotaxis. Outflow boundary conditions are ...

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