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广西师范大学数学与统计学院张映辉教授学术报告会预告

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时间:2020612日(星期五)下午510

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,现任广西师范大学数学与统计学院副院长。

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 EquationsProceedings 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。