Email this article Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag
- Authors: Allilueva A.I.1,2,3, Shafarevich A.I.1,2,3,4
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Affiliations:
- Ishlinskii Institute for Mechanical Problems
- Moscow Institute of Physics and Technology
- National Research Center “Kurchatov Institute,”
- Lomonosov Moscow State University
- Issue: Vol 190, No 1 (2017)
- Pages: 164-175
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170970
- DOI: https://doi.org/10.1134/S0040577917010147
- ID: 170970
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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.
About the authors
A. I. Allilueva
Ishlinskii Institute for Mechanical Problems; Moscow Institute of Physics and Technology; National Research Center “Kurchatov Institute,”
Author for correspondence.
Email: esina_anna@list.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast; Moscow
A. I. Shafarevich
Ishlinskii Institute for Mechanical Problems; Moscow Institute of Physics and Technology; National Research Center “Kurchatov Institute,”; Lomonosov Moscow State University
Email: esina_anna@list.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast; Moscow; Moscow
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