Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities

DOI10.1134/S0001434616050187zbMath1351.35121MaRDI QIDQ325537

Anna I. Allilueva, Andrej I. Shafarevich

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

incompressible fluidCauchy problemfree boundary problemmagnetic fieldAlfven modemagnetohydrodynamic systemrapidly varying solutionsmoothed discontinuityWitham equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Moving boundary problems for PDEs (35R37)

Related Items (2)

Asymptotic solutions of a system of gas dynamics with low viscosity that describe smoothed discontinuities ⋮ 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

Cites Work

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• The behavior of the magnetic field in a conducting fluid with a rapidly varying velocity field
• Magnetic field generation by the motion of a highly conducting fluid
• Magnetic field asymptotics in a well conducting fluid
• The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities

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