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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2017 Volume 190, Number 1, Pages 191–204 (Mi tmf9228)

This article is cited in 6 papers

Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag

A. I. Alliluevaabc, A. I. Shafarevichdabc

a Ishlinskii Institute for Mechanical Problems, RAS, Moscow, Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
c National Research Centre "Kurchatov Institute", Moscow, Russia
d Lomonosov Moscow State University, Moscow, Russia

Abstract: We describe asymptotic solutions of the Cauchy problem for a linearized system of magnetohydrodynamics with initial conditions localized in a small neighborhood of a curve or a two-dimensional surface. We investigate how a change of the multiplicity of characteristics affects such solutions and prove a uniform estimate of the residual.

Keywords: magnetohydrodynamic equation, nonstandard characteristic.

Received: 16.05.2016

DOI: 10.4213/tmf9228


 English version:
Theoretical and Mathematical Physics, 2017, 190:1, 164–175

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