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 epsilon > 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 epsilon goes to zero.
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
E Rocca
2017
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 epsilon > 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 epsilon goes to zero.File in questo prodotto:
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Descrizione: Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
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Descrizione: Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
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