Waves in the linearized system of magnetohydrodynamics

DOI10.1134/S1061920810030027zbMath1251.35015OpenAlexW2053922763MaRDI QIDQ455525

Valeri V. Kucherenko

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920810030027

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Linear first-order PDEs (35F05) Waves for incompressible viscous fluids (76D33)

Related Items (6)

Asymptotic solutions for linear and nonlinear MHD systems with a rapid jump near a surface. Dynamics of the surface of the jump and evolution of the magnetic field ⋮ Geometrical and Asymptotical Properties of Non-Selfadjoint Induction Equation with the Jump of the Velocity Field. Time Evolution and Spatial Structure of the Magnetic Field ⋮ Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid ⋮ Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag ⋮ Localized asymptotic solutions of the linearized system of magnetic hydrodynamics ⋮ Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• On real hyperbolic systems with characteristics of variable multiplicity
• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Hyperbolic systems with multiplicity greater than or equal to three
• Existence theorem for hyperbolic systems with a multiplicity change point of at most third order
• Propagation of singularities along characteristics with nonuniform multiplicity
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED

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