Email this article Localized asymptotic solutions of the linearized system of magnetic hydrodynamics
- Authors: Allilueva A.I.1,2,3, Shafarevich A.I.1,2,3,4
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Affiliations:
- Ishlinskii Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- National Research Center “Kurchatov Institute,”
- Lomonosov Moscow State University
- Issue: Vol 102, No 5-6 (2017)
- Pages: 737-745
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150291
- DOI: https://doi.org/10.1134/S0001434617110128
- ID: 150291
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Abstract
We describe the asymptotic solutions of the Cauchy problem for the linearized system of equations of magnetic hydrodynamics with initial conditions localized near one point. It is shown that the structure of such solutions depends on whether the external magnetic field vanishes or not at this point. We discuss whether it is possible for the asymptotic solution to increase with time.
About the authors
A. I. Allilueva
Ishlinskii Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University); National Research Center “Kurchatov Institute,”
Email: shafarev@yahoo.com
Russian Federation, Moscow; Dolgoprudnyi, Moscow Oblast; Moscow
A. I. Shafarevich
Ishlinskii Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University); National Research Center “Kurchatov Institute,”; Lomonosov Moscow State University
Author for correspondence.
Email: shafarev@yahoo.com
Russian Federation, Moscow; Dolgoprudnyi, Moscow Oblast; Moscow; Moscow
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