Local well-posedness of the free-surface incompressible elastodynamics
Local well-posedness of the free-surface incompressible elastodynamics
复制标题
自由表面不可压缩弹性动力学的局部适定性
DOI：
10.1016/j.jde.2019.11.075
复制
发表时间：
2019
影响因子：
2.4
通讯作者：
Zhang Yinghui
中科院分区：
文献类型：
--
作者：
Zhang Yinghui
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 [16] 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 [14]. Our method is based on the use of Alinhac good unknowns, the suitable approximations both nonlinear and linear, and delicate energy estimates.
