Well-posedness of the free boundary problem in incompressible elastodynamics
Analysis of PDEs
2018-02-27 v1
Abstract
In this paper, we prove the local well-posedness of the free boundary problem in incompressible elastodynamics under a natural stability condition, which ensures that the evolution equation describing the free boundary is strictly hyperbolic. Our result gives a rigorous confirmation that the elasticity has a stabilizing effect on the Rayleigh-Taylor instability.
Keywords
Cite
@article{arxiv.1802.08819,
title = {Well-posedness of the free boundary problem in incompressible elastodynamics},
author = {Hui Li and Wei Wang and Zhifei Zhang},
journal= {arXiv preprint arXiv:1802.08819},
year = {2018}
}
Comments
20 pages