Approximate current-vortex sheets near the onset of instability

DOI10.1016/j.matpur.2015.11.006zbMath1336.35302arXiv1511.00811OpenAlexW2963410058MaRDI QIDQ264507

Paola Trebeschi, Alessandro Morando, Paolo Secchi

Publication date: 31 March 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00811

zbMATH Keywords

incompressible fluidscurrent-vortex sheetsinterfacial stability and instabilitymagneto-hydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Interfacial stability and instability in hydrodynamic stability (76E17) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

On the weakly nonlinear Kelvin-Helmholtz instability of current-vortex sheets ⋮ Data dependence of approximate current-vortex sheets near the onset of instability ⋮ Existence of approximate current-vortex sheets near the onset of instability

Cites Work

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• Weakly well posed hyperbolic initial-boundary value problems with non characteristic boundary
• A priori estimates for 3D incompressible current-vortex sheets
• Compressible fluid flow and systems of conservation laws in several space variables
• Stability of incompressible current-vortex sheets
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
• Nonlinear surface waves on the plasma-vacuum interface
• ON THE WEAKLY NONLINEAR KELVIN–HELMHOLTZ INSTABILITY OF TANGENTIAL DISCONTINUITIES IN MHD
• Pseudo-Differential Operators and Symmetries
• NOTE ON A PROBLEM OF MAGNETOHYDRODYNAMIC STABILITY
• Nonlinear surface waves on a tangential discontinuity in magnetohydrodynamics
• Hamiltonian Equations for Scale‐Invariant Waves

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