Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval

DOI10.1007/s10958-013-1565-5zbMath1308.76338OpenAlexW2066855932MaRDI QIDQ744529

E. V. Frolova, Vsevolod A. Solonnikov

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1565-5

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (11)

Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field ⋮ On the maximal \(L_p\)-\(L_q\) regularity theorem for the linearized electro-magnetic field equations with interface conditions ⋮ Free boundary problem of magnetohydrodynamics ⋮ Decay rates for the viscous incompressible MHD equations with and without surface tension ⋮ On the eigenvalues and eigenfunctions for a free boundary problem for incompressible viscous magnetohydrodynamics ⋮ \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container ⋮ On the Faedo-Galerkin method for a free boundary problem for incompressible viscous magnetohydrodynamics ⋮ Linearization of a free boundary problem of magnetohydrodynamics ⋮ Global well-posedness of free interface problems for the incompressible inviscid resistive MHD ⋮ 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

Cites Work

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• On the local solvability of free boundary problem for the Navier-Stokes equations
• On a problem of magnetohydrodynamics in a multi-connected domain
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
• On the exponential stability of the rest state of a viscous compressible fluid
• On the stability of uniformly rotating liquid in a weak magnetic field

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