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arXiv · 1911.06195

Well-posedness of the free boundary problem in elastodynamics with mixed stability condition

Hui Li·Wei Wang·Zhifei Zhang
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Abstract

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].

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Hui Li, Wei Wang, Zhifei Zhang. 2019-11-14. Well-posedness of the free boundary problem in elastodynamics with mixed stability condition. https://arxiv.org/abs/1911.06195

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