Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609315 | Journal of Differential Equations | 2016 | 26 Pages |
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
Authors
Chengchun Hao, Dehua Wang,