NONSTANDARD CHARACTERISTICS AND LOCALIZED ASYMPTOTIC SOLUTIONS OF A LINEARIZED MAGNETOHYDRODYNAMIC SYSTEM WITH SMALL VISCOSITY AND DRAG

被引：6

作者：

Allilueva, A. I. ^{[1
,2
,3
]}

Shafarevich, A. I. ^{[4
]}

机构：

[1] RAS, Ishlinskii Inst Mech Problems, Moscow, Russia

[2] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow Oblast, Russia

[3] Kurchatov Inst, Natl Res Ctr, Moscow, Russia

[4] Lomonosov Moscow State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2017年 / 190卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

magnetohydrodynamic equation; nonstandard characteristic; WAVES;

D O I：

10.1134/S0040577917010147

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：164 / 175

页数：12

共 8 条

[1]

Esina AI, 2014, METHODS FUNCT ANAL T, V20, P17

[2] ON STABILITY AND INSTABILITY CRITERIA FOR FOR MAGNETOHYDRODYNAMICS [J].