广州数学大讲坛第一期
第九讲——安徽师范大学费明稳教授学术报告
题目：Sharp interface limit of a matrix-valued Allen-Cahn equation
时间：2022年4月29日（周五）上午9:00－12：00
地点：腾讯会议（会议ID：867 106 892）
报告人：费明稳
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.
报告人简介：
费明稳，安徽师范大学数学与统计学院教授、博导、副院长,安徽师范大学“文津学者”,安徽省学术和技术带头人后备人选,美国数学评论评论员，主要从事Navier-Stokes方程边界层和相场模型界面动力学等方面研究，先后主持国家自然科学基金和安徽省自然科学基金项目共4项，曾应邀访问新加坡国立大学、美国佛罗里达州立大学、美国佐治亚理工学院等，研究成果发表在Archive for Rational Mechanics and Analysis、Journal de Mathématiques Pures et Appliquées、Physica D: Nonlinear Phenomena、SIAM Journal on Mathematical Analysis、SIAM Journal on Applied Mathematics、Discrete and Continuous Dynamical Systems、Pacific Journal of Mathematics、Peking Mathematical Journal等国内外重要期刊上。
