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arXiv · 1403.1309

A Priori Estimates for the Free Boundary Problem of Incompressible Neo-Hookean Elastodynamics

Chengchun Hao·Dehua Wang
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Abstract

A free boundary problem for the incompressible neo-Hookean elastodynamics is studied in two and three spatial dimensions. The a priori estimates in Sobolev norms of solutions with the physical vacuum condition are established through a geometrical point of view. Some estimates on the second fundamental form and velocity of the free surface are also obtained.

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Chengchun Hao, Dehua Wang. 2014-03-06. A Priori Estimates for the Free Boundary Problem of Incompressible Neo-Hookean Elastodynamics. https://doi.org/10.1016/j.jde.2016.03.025

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