Shape lnterface Limit

报告人: 陶涛(山东大学)

时间: 2017.8.17 14:30-15:30

地点: N208

摘要: In this talk, we consider the asymptotic limit of a diffuse interface model for tumor-growth when a parameter s proportional to the thickness of the diffuse interface goes to zero. An approximate solution which shows explicitly the behavior of the true solution for small s will be constructed by using matched asymptotic expansion. Based on a spectral condition, we establish a smallness estimate between the approximate solution and the true solution by energy method. This is a jiont work with Mingwen Fei and Wei Wang.