Article ID Journal Published Year Pages File Type
4609315 Journal of Differential Equations 2016 26 Pages PDF
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 of Christodoulou and Lindblad (2000) [3]. Some estimates on the second fundamental form and velocity of the free surface are also obtained.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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