一、题目

Sharp interface limit of a matrix-valued Allen-Cahn equation

二、主讲人

费明稳

三、摘要

In this talk we consider the sharp interface limit of a matrix-valued Allen-Cahn equation. We show that the sharp interface limit system is a two-phases flow system: the interface evolves according to the motion by mean curvature; in the two bulk phase regions, the solution obeys the heat flow of harmonic maps with values in the sets of nˆn orthogonal matrices with determinant 1 and -1 respectively; on the interface, the phase matrices in two sides satisfy a novel mixed boundary condition. The above result provides a solution to the Keller-Rubinstein-Sternberg’s (conjecture) problem in the orthogonal matrix setting. This is a joint work with Prof. Fanghua Lin, Prof. Wei Wang and Prof. Zhifei Zhang.

四、主讲人简介

费明稳，安徽师范大学数学与统计学院教授，博士生导师，主要从事不可压缩流体方程的研究，在流体和液晶中的sharp interface limit问题上取得了重要成果。

五、邀请人

陶涛 数学学院副教授

六、时间

9月9日（周四）20:00-21:00

七、地点

腾讯会议，ID：427 916 397

八、主办方

山东大学数学学院