金年会

汇报题目的： 3d不能压优质的配置流体力学式子恣意边值间题的产品局部适判定 Local well-posedness of the free-surface incompressible elastodynamics   通知单人：张映辉，博土，湖南省理工学海瑞朗数学3海瑞朗副讲解 时刻：2014年17月14日上午2:30；地點：5511学术界计划书厅 情况汇报绪论： 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.