Localized asymptotic solutions of the linearized system of magnetic hydrodynamics

被引：1

作者：

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

Shafarevich, A. I. ^{[1
,2
,3
,4
]}

机构：

[1] Russian Acad Sci, Ishlinskii Inst Problems Mech, Moscow, Russia

[2] State Univ, 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：

MATHEMATICAL NOTES | 2017年 / 102卷 / 5-6期

基金：

俄罗斯科学基金会;

关键词：

equation of magnetic hydrodynamics; localized asymptotic solutions; MAGNETOHYDRODYNAMICS; EQUATIONS; WAVES;

D O I：

10.1134/S0001434617110128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

收藏

页码：737 / 745

页数：9

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