paper

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

arXiv:1403.1309 · doi:10.1016/j.jde.2016.03.025

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.

arXiv admin note: substantial text overlap with arXiv:1301.7123

References in corpus (2)

Cited by in corpus (10)