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arXiv · 1610.04478

Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth

S. Melchionna·E. Rocca
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Abstract

We discuss the sharp interface limit of a diffuse interface model for a coupled Cahn-Hilliard--Darcy system that models tumor growth when a certain parameter $\varepsilon>0$, related to the interface thickness, tends to zero. In particular, we prove that weak solutions to the related initial boundary value problem tend to varifold solutions of a corresponding sharp interface model when $\varepsilon$ goes to zero.

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S. Melchionna, E. Rocca. 2016-10-14. Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. https://arxiv.org/abs/1610.04478

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