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


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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.

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A. Allilueva

Ishlinskii Institute for Mechanical Problems; Moscow Institute of Physics and Technology; National Research Center “Kurchatov Institute,”

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Email: esina_anna@list.ru
俄罗斯联邦, Moscow; Dolgoprudny, Moscow Oblast; Moscow

A. 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
俄罗斯联邦, Moscow; Dolgoprudny, Moscow Oblast; Moscow; Moscow

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