Analysis of Cahn‐Hilliard‐Brinkman models for tumour growth

Matthias Ebenbeck, Harald Garcke · PAMM · 2019

Abstract We introduce and mathematically analyse a new Cahn–Hilliard–Brinkman model for tumour growth allowing for chemotaxis. Outflow boundary conditions are considered in order not to influence tumour growth by artificial boundary conditions. Existence of global‐in‐time weak solutions is shown in a very general setting.

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