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,半岛平台数学学院副教授
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.