报告时间：2023年9月15日（星期五）16:00-17:00

报告地点：腾讯会议509-878-371

报告人：费明稳 教授

工作单位：安徽师范大学

举办单位：金沙集团1862cc成色

报告简介：

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，教授，博士生导师，安徽师范大学“学科领军人才”，安徽省学术和技术带头人后备人选，主持国家自然科学基金项目3项和安徽省杰出青年基金项目1项。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，部分研究成果发表在Invention Mathematics、Communications in Mathematical Physics、Archive for Rational Mechanics and Analysis、Journal de Mathématiques Pures et Appliquées、SIAM Journal on Mathematical Analysis、Physica D、Peking Mathematical Journal等国内外知名数学期刊上。