3 papers
math.AP2019
Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms
Matthias Ebenbeck, Kei Fong Lam
We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn-Hilliard-Brinkman (CHB) system with a elliptic reaction-diffusion equation…
math.AP2018
On a Cahn-Hilliard-Brinkman model for tumour growth and its singular limits
Matthias Ebenbeck, Harald Garcke
In this work, we study a model consisting of a Cahn-Hilliard-type equation for the concentration of tumour cells coupled to a reaction-diffusion type equation for the nutrient dens…
math.AP2018
Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis
Matthias Ebenbeck, Harald Garcke
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…