Data dependence of approximate current-vortex sheets near the onset of instability

DOI10.1142/S0219891617500175zbMath1382.35235arXiv1601.03674OpenAlexW2963996272MaRDI QIDQ4588800

Paolo Secchi, Alessandro Morando, Paola Trebeschi

Publication date: 2 November 2017

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03674

zbMATH Keywords

incompressible fluidinterfacial stability and instabilitymagneto-hydrodynamicscurrent-vortex sheet

Mathematics Subject Classification ID

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

Related Items (2)

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

Cites Work

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• Approximate current-vortex sheets near the onset of instability
• Nonlinear evolution equations and the Euler flow
• Data dependence in the mathematical theory of compressible inviscid fluids
• On the singular incompressible limit of inviscid compressible fluids
• Singular limits in compressible fluid dynamics
• ON THE WEAKLY NONLINEAR KELVIN–HELMHOLTZ INSTABILITY OF TANGENTIAL DISCONTINUITIES IN MHD
• The initial-value problem for the Korteweg-de Vries equation
• Perturbation theorems for linear hyperbolic mixed problems and applications to the compressible euler equations
• Existence of approximate current-vortex sheets near the onset of instability

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