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Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation

Ebenbeck, Matthias ; Knopf, Patrik



Abstract

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 field variable coupled to a reaction diffusion equation for the nutrient and a Brinkman type equation for the velocity. The system is equipped with homogeneous Neumann boundary conditions for the tumor variable and the ...

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