Shape lnterface Limit


Shape lnterface Limit

Speaker: Tao Tao(Shandong University)

Time: 2017.8.17 14:30-15:30

Place: N208

Abstract: 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.