Well-posedness of the free boundary problem in incompressible elastodynamics
arXiv:1802.08819
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.
arXiv comment20 pages
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