学术交流

数学学院学术报告会预告

报告题目:

三维不可压弹性力学方程自由边值问题的局部适定性

Local well-posedness of the free-surface incompressible elastodynamics

 

报告人:张映辉,博士,湖南理工学院数学学院副教授

时间:2017年11月15日下午2:30;地点:5511学术报告厅

报告摘要:

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, JDE, 2016] 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, 2016, Preprint].

Our method is based on the use of Alinhac good unknowns, the

suitable approximations both nonlinear and linear, and delicate

energy estimates.