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Cahn–Hilliard–Brinkman systems for tumour growth

Ebenbeck, Matthias ; Garcke, Harald ; Nürnberg, Robert


A phase field model for tumour growth is introduced that is based on a Brinkman law for convective velocity fields. The model couples a con-vective Cahn-Hilliard equation for the evolution of the tumour to a reaction-diffusion-advection equation for a nutrient and to a Brinkman-Stokes type law for the fluid velocity. The model is derived from basic thermodynamical principles, sharp interface ...


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