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

被引：0
作者：
Kun Shuai
Juan Huang
Zhigang Pan
机构：
[1] University of Electronic Science and Technology of China,ChengDu College
[2] Sichuan Normal University,College of Mathematics and Software Science
[3] Southwest Jiaotong University,School of Mathematics
来源：
Mathematical Notes | 2015年 / 97卷
关键词：
Zakharov system; magnetic field; subsonic limit; blowup of a solution; global existence;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：450 / 467
页数：17
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