On the viscous and inviscid stability of magnetohydrodynamic shock waves

DOI10.1016/j.physd.2008.07.003zbMath1155.76027OpenAlexW2058461734MaRDI QIDQ1000674

Heinrich Freistühler, Yu. L. Trakhinin

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.07.003

zbMATH Keywords

multi-dimensional stabilityone-dimensional stability

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (9)

\(O(2)\) Hopf bifurcation of viscous shock waves in a channel ⋮ Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics ⋮ Emergence of unstable modes for classical shock waves in isothermal ideal MHD ⋮ Structural stability of shock waves in 2D compressible elastodynamics ⋮ Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations ⋮ Transverse steady bifurcation of viscous shock solutions of a system of parabolic conservation laws in a strip ⋮ One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics ⋮ Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain ⋮ Transverse bifurcation of viscous slow MHD shocks

Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Stability of shock waves in magnetohydrodynamics
• Compressible fluid flow and systems of conservation laws in several space variables
• Stability of isentropic Navier-Stokes shocks in the high-Mach number limit
• Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD
• Stability of viscous shocks in isentropic gas dynamics
• Stability of plane MHD shock waves in an ideal gas
• A complete 2D stability analysis of fast MHD shocks in an ideal gas
• The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas
• Hyperbolic boundary value problems for symmetric systems with variable multiplicities
• La transition vers l’instabilité pour les ondes de choc multi-dimensionnelles
• Stability of multi-dimensional weak shocks
• Nonlinear stability of shock waves for viscous conservation laws
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Stability of Strong Discontinuities in Fluids and MHD
• Initial boundary value problems for hyperbolic systems
• The Existence and Limit Behavior of the One-Dimensional Shock Layer

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