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Localized solutions for linearized MHD equations and interaction of Alfven modes

A. I. Allilueva2, 3, 4 - A. I. Shafarevich1, 2, 3, 4

1 Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow 119899, Russia
2 Moscow Institute of Physics and Technology (State University), 9 Inststitutskii per., Dolgoprudny 141700, Russia
3 A. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 101-1 pr. Vernadskogo, 119526 Moscow, Russia
4 National Research Centre "Kurchatov Institute", 1 pl. Kurchatova, 123182 Moscow, Russia

We study the asymptotic behavior of solutions of the Cauchy problem for a linearized system of magnetohydrodynamic equations with initial conditions localized near a two-dimensional surface. Equations governing the evolution of the leading term of asymptotics are derived. Localization and growth of a small perturbation are described. Refs 11.

Magnetohydrodynamics 55, No. 1/2, 15-22, 2019 [PDF, 0.12 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X