On the existence of incompressible current-vortex sheets: study of a linearized free boundary value problem

DOI10.1002/mma.600zbMath1112.76087OpenAlexW2080217917MaRDI QIDQ3022727

Yu. L. Trakhinin

Publication date: 30 June 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.600

zbMATH Keywords

well-posednessincompressible magnetohydrodynamicscurrent-vortex sheet

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (18)

Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Well-posedness of the free boundary problem in compressible elastodynamics ⋮ A priori estimates for 3D incompressible current-vortex sheets ⋮ Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets ⋮ Well-posedness of the free boundary problem for incompressible elastodynamics ⋮ Stability of incompressible current-vortex sheets ⋮ Weakly nonlinear surface waves in magnetohydrodynamics. I ⋮ Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition ⋮ Local existence of MHD contact discontinuities ⋮ Existence and Stability of Compressible and Incompressible Current-Vortex Sheets ⋮ Well-posedness of the linearized problem for MHD contact discontinuities ⋮ On stability of Alfvén discontinuities ⋮ Analytic current-vortex sheets in incompressible magnetohydrodynamics ⋮ The existence of current-vortex sheets in ideal compressible magnetohydrodynamics ⋮ Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients ⋮ Well-posedness of the two-phase flow problem in incompressible MHD ⋮ On local existence of MHD contact discontinuities

Cites Work

• NOTE ON A PROBLEM OF MAGNETOHYDRODYNAMIC STABILITY
• Stability of Strong Discontinuities in Fluids and MHD
• The stability of multidimensional shock fronts

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