Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit
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Publication:2164347
DOI10.1007/s00205-022-01806-zzbMath1504.35255OpenAlexW4285094801MaRDI QIDQ2164347
Publication date: 12 August 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-022-01806-z
incompressible elastodynamicsincompressible viscoelasticityEuler equations, inviscid limitneo-Hookean elastic materials
PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Viscoelastic fluids (76A10) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Theory of constitutive functions in solid mechanics (74A20) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics* ⋮ Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮ Optimal temporal decay rates for the compressible viscoelastic flows ⋮ 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 ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension
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