Well-posedness of the free boundary problem in incompressible elastodynamics
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🧮 math.AP
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boundaryfreeelastodynamicsincompressibleproblemwell-posednessconditionconfirmation
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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.
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