Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics
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Publication:2138637
DOI10.1007/s00205-022-01774-4zbMath1490.35292arXiv2102.07979OpenAlexW3132585338MaRDI QIDQ2138637
Publication date: 12 May 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07979
Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Incompressible limit of nonisentropic Hookean elastodynamics ⋮ Local well-posedness for the motion of a compressible gravity water wave with vorticity ⋮ Low Mach number limit of inviscid Hookean elastodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD ⋮ Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension ⋮ Low Mach number limit of nonisentropic inviscid Hookean elastodynamics ⋮ Convergence rates of solutions to the compressible Hookean elastodynamics
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