Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
Analysis of PDEs
2016-10-17 v1
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 , 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 goes to zero.
Cite
@article{arxiv.1610.04478,
title = {Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth},
author = {S. Melchionna and E. Rocca},
journal= {arXiv preprint arXiv:1610.04478},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1212.5582 by other authors