ON THE WEAKLY NONLINEAR KELVIN–HELMHOLTZ INSTABILITY OF TANGENTIAL DISCONTINUITIES IN MHD

DOI10.1142/S0219891611002548zbMath1248.35123MaRDI QIDQ2891096

John B. Thoo, John K. Hunter

Publication date: 13 June 2012

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

zbMATH Keywords

nonlinear surface wavesHadamard instability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (9)

Approximate current-vortex sheets near the onset of instability ⋮ Nonlinear Hyperbolic Surface Waves ⋮ Nonlinear hyperbolic wave propagation in a one-dimensional random medium ⋮ 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 ⋮ Nonlinear dynamics of non-uniform current-vortex sheets in magnetohydrodynamic flows ⋮ Nonlinear surface waves on the plasma-vacuum interface ⋮ Transmission of magnetosonic waves through current-vortex sheets

Cites Work

• Weakly nonlinear surface waves and subsonic phase boundaries
• Singularity formation in a model for the vortex sheet with surface tension
• Asymptotic equations for conservation laws of mixed type
• Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
• Existence of compressible current-vortex sheets: Variable coefficients linear analysis
• Nonlinear Hyperbolic Surface Waves
• Nonlinear behavior of model equations which are linearly ill-posed

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