Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
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Publication:5283347
DOI10.1137/16M1089794zbMath1373.35221arXiv1409.5384OpenAlexW2613341629MaRDI QIDQ5283347
Publication date: 21 July 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5384
Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Viscous-inviscid interaction for compressible fluids and gas dynamics (76N17) Euler equations (35Q31)
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Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations ⋮ Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics* ⋮ Ill-posedness of free boundary problem of the incompressible ideal MHD ⋮ A Beale–Kato–Majda criterion for free boundary incompressible ideal magnetohydrodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Splash singularity for the free boundary incompressible viscous MHD ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension ⋮ Decay rates for the viscous incompressible MHD equations with and without 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 ⋮ Lagrangian approach to global well-posedness of viscous incompressible MHD equations ⋮ On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the $L_p$-approach
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