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Localized asymptotic solutions of the linearized system of magnetic hydrodynamics

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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.

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Authors and Affiliations

  1. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Oblast, Russia

    A. I. Allilueva & A. I. Shafarevich

  3. National Research Center “Kurchatov Institute,”, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  4. Lomonosov Moscow State University, Moscow, Russia

    A. I. Shafarevich

Authors
  1. A. I. Allilueva
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  2. A. I. Shafarevich
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Correspondence to A. I. Shafarevich.

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Original Russian Text © A. I. Allilueva, A. I. Shafarevich, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 6, pp. 807–815.

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Allilueva, A.I., Shafarevich, A.I. Localized asymptotic solutions of the linearized system of magnetic hydrodynamics. Math Notes 102, 737–745 (2017). https://doi.org/10.1134/S0001434617110128

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  • DOI: https://doi.org/10.1134/S0001434617110128

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