33 citations · 84 across the 5 of their papers we have counts for
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math.AP2018★ 1 cited
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.OC2018★ 28 cited
Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation
Matthias Ebenbeck, Patrik Knopf
In this paper, we study a distributed optimal control problem for a diffuse interface model for tumor growth. The model consists of a Cahn-Hilliard type equation for the phase fiel…
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…