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Global Well-posedness of Incompressible Elastodynamics in Two Dimensions
classification
🧮 math.AP
keywords
dimensionselastodynamicsglobalincompressiblespaceadmitscauchyclassical
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We prove that for sufficiently small initial displacements in some weighted Sobolev space, the Cauchy problem of the systems of incompressible isotropic elastodynamics in two space dimensions admits a uniqueness global classical solution.
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