Sharp threshold of global existence for the generalized Zakharov system with three-dimensional magnetic field in the subsonic limit

被引：0

作者：

Shuai, Kun ^{[1
]}

Huang, Juan ^{[2
]}

Pan, Zhigang ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, ChengDu Coll, Chengdu 610054, Peoples R China

[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu, Peoples R China

[3] Southwest Jiaotong Univ, Sch Math, Chengdu, Peoples R China

来源：

MATHEMATICAL NOTES | 2015年 / 97卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

Zakharov system; magnetic field; subsonic limit; blowup of a solution; global existence; NONLINEAR SCHRODINGER-EQUATIONS; KLEIN-GORDON EQUATIONS; SINGULAR SOLUTIONS; PLASMA;

D O I：

10.1134/S0001434615030165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with the Zakharov system with three dimensional magnetic field in the subsonic limit, which describes the spontaneous generation of a magnetic field in cold plasma. In fact, we will investigate the effect of the magnetic field term on the equations. By using variational calculus, we obtain the threshold of global existence and blowup of the solution to the equations, which will be more complicated and requires more skill.

引用

页码：450 / 467

页数：18

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