标题：Local well-posedness of the free-surface incompressible elastodynamics

报告人：张映辉（广西师范大学数学与统计学院）

地点：数学与计算机科学学院4号楼302室

时间：2019年11月5日下午3：00

摘要： We are concerned with the free boundary problem of three-dimenional 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 [16] 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 [14]. Our method is based on the use of Alinhac good unknowns, the suitable approximations both nonlinear and linear, and delicate energy estimates.

报告人介绍：张映辉，湖南祁阳人，博士(后)，教授，硕士研究生导师，广西师范大学A类漓江学者，美国《数学评论》评论员，现任广西师范大学数学与统计学院院长助理。主要研究方向为流体力学中的偏微分方程，主持国家自然科学基金项目2项，省部级科研项目8项；主要研究方向为流体力学中的偏微分方程；已在Indiana Univ. Math. J.、J. Differ. Equations.、P. Roy. Soc. Edinb. A、J. Math. Phys.、中国科学（英文版）等国内外权威期刊发表论文近40篇，SCI收录30余篇；获省自然科学奖和市科技进步奖各1项