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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 190, Number 1, Pages 191–204
DOI: https://doi.org/10.4213/tmf9228 (Mi tmf9228) 		 
This article is cited in 6 scientific papers (total 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
Full-text PDF (433 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9228
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.
Funding agency Grant number
Russian Science Foundation 16-11-10282
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10282).
Received: 16.05.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 190, Issue 1, Pages 164–175
DOI: https://doi.org/10.1134/S0040577917010147
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Allilueva, A. I. Shafarevich, “Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag”, TMF, 190:1 (2017), 191–204; Theoret. and Math. Phys., 190:1 (2017), 164–175
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v190/i1/p191
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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