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

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.