报告人: 张映辉（广西师范大学）

时 间:2019年12月21日10:50

地 点:理科楼LA106

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.

报告人简介：张映辉，博士，教授，硕士生导师，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，现任广西师范大学太阳成集团tyc539副经理。主要研究方向为偏微分方程理论及其应用。主持国家自然科学基金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。

公司联系人: 穆春来 王华桥

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