Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics
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Publication:2220651
DOI10.1007/s00205-020-01592-6zbMath1458.35356arXiv1912.11924OpenAlexW3104403458MaRDI QIDQ2220651
Publication date: 25 January 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11924
free boundary problemplasma-vacuum interfacecompressible magnetohydrodynamicsnon-relativistic and relativistic
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (14)
Local solvability of free boundary problems in ideal compressible magnetohydrodynamics with and without surface tension ⋮ Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations ⋮ Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics* ⋮ Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD ⋮ Local well-posedness for the motion of a compressible gravity water wave with vorticity ⋮ Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension ⋮ On vacuum free boundary problems in ideal compressible magnetohydrodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Well-posedness for moving interfaces in anisotropic plasmas ⋮ Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension ⋮ Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics ⋮ Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations ⋮ Nonlinear stability of MHD contact discontinuities with surface tension
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