Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition
Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition
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DOI：
10.1137/21m1394904
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发表时间：
2019-11
期刊：
影响因子：
--
通讯作者：
Hui Li;Wei Wang;Zhifei Zhang
中科院分区：
文献类型：
--
作者：
Hui Li;Wei Wang;Zhifei Zhang
本文证明了不可压缩弹性动力学自由边界问题在混合型稳定性条件下的局部适定性，对于自由边界的每个点，泰勒符号条件$-\partial_n p>0$和非共线性条件中的至少一个成立。这对Trakhinin在[30]中提出的一个问题给出了肯定的回答。
In this paper, we prove the local well-posedness of the free boundary problem in incompressible elastodynamics under a mixed type stability condition, i.e., for each point of the free boundary, at least one of the Taylor sign condition $-\partial_n p>0$ and the non-collinearity condition holds. This gives an affirmative answer to a problem raised by Trakhinin in [30].