时间：2020年6月12日（星期五）下午5：10—

地点：至善楼102教室

报告题目：Local well-posedness of the free-surface incompressible elastodynamics

摘要：We are concerned with the free boundary problem of three-dimensional incompressible neo-Hookean elastodynamics in physical vacuum, which describes the motion of neo-Hookean elastic waves in an incompressible material. Up to now, only local-in-time a priori estimates for the solutions of the problem has been established by Hao-Wang through a geometrical viewpoint. In this paper, we prove the local well-posedness of the problem in spirit of the arguments developed recently by Gu-Wang. Our method is based on the use of Alinhac good unknowns, the suitable approximations both nonlinear and linear, and delicate energy estimates.

专家简介：

张映辉，博士（后），教授，博士生导师，广西杰出青年基金获得者，广西高等学校中青年骨干教师，广西师范大学A类漓江学者，美国《数学评论》(Mathematical Reviews)评论员，现任广西师范大学beat365中国在线体育副院长。

主要研究方向为偏微分方程理论及其应用。主持国家自科基金2项，广西杰出青年基金、博士后基金等省部级项目8项；已在Indiana University Mathematics Journal、Journal of Differential Equations、Proceedings of the Royal Society of Edinburgh Section A-Mathematics、中国科学（英文版）等本领域国际一流期刊上发表SCI论文30余篇；获省自然科学奖和市科技进步奖各1项。