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数学学院学术报告会预告
2017年11月09日  

 

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

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.

时间:20171115日下午2:30;地点:5511学术报告厅

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