A priori estimates for 3D incompressible current-vortex sheets
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Publication:411369
DOI10.1007/s00220-011-1340-8zbMath1250.35190arXiv1102.2763OpenAlexW2073804249MaRDI QIDQ411369
Paola Trebeschi, Alessandro Morando, Paolo Secchi, Jean-François Coulombel
Publication date: 4 April 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.2763
A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35)
Related Items (30)
Approximate current-vortex sheets near the onset of instability ⋮ Well-posedness of axially symmetric incompressible ideal magnetohydrodynamic equations with vacuum under the non-collinearity condition ⋮ Weak stability of the plasma-vacuum interface problem ⋮ Weakly nonlinear surface waves on the plasma-vacuum interface ⋮ Short-time structural stability of compressible vortex sheets with surface tension ⋮ Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD ⋮ Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮ On the weakly nonlinear Kelvin-Helmholtz instability of current-vortex sheets ⋮ On vacuum free boundary problems in ideal compressible magnetohydrodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD ⋮ Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension ⋮ Existence of approximate current-vortex sheets near the onset of instability ⋮ Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets ⋮ On the Cauchy problem for gravity water waves ⋮ Stability of the linearized MHD-Maxwell free interface problem ⋮ Well-posedness of the free boundary problem for incompressible elastodynamics ⋮ Weakly nonlinear surface waves in magnetohydrodynamics. I ⋮ Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition ⋮ On the motion of free interface in ideal incompressible MHD ⋮ Well-posedness of the linearized problem for MHD contact discontinuities ⋮ Analytic current-vortex sheets in incompressible magnetohydrodynamics ⋮ Global well-posedness of free interface problems for the incompressible inviscid resistive MHD ⋮ Local well-posedness of the free-surface incompressible elastodynamics ⋮ Well-posedness of the plasma -- vacuum interface problem for ideal incompressible MHD ⋮ On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations ⋮ Well-posedness of the two-phase flow problem in incompressible MHD ⋮ On local existence of MHD contact discontinuities ⋮ The research of Paolo Secchi
Cites Work
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- On the existence of incompressible current-vortex sheets: study of a linearized free boundary value problem
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- NOTE ON A PROBLEM OF MAGNETOHYDRODYNAMIC STABILITY
- Nonlinear surface waves on a tangential discontinuity in magnetohydrodynamics
- Well-posedness of the water-waves equations
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