Blow-up and nonlinear instability for the magnetic Zakharov system

被引：9

作者：

Gan, Zaihui ^{[1
,3
]}

Guo, Boling ^{[2
]}

Huang, Daiwen ^{[2
]}

机构：

[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610068, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 265卷 / 06期

关键词：

Generalized Zakharov system; Blow-up solutions; Nonlinear instability; Concentration properties; Magnetic field; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.jfa.2013.05.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study deals with the generalized Zakharov system with magnetic field. First of all, we construct a kind of blow-up solutions and establish the existence of blow-up solutions to the system through considering an elliptic system. Next, we show the nonlinear instability for a kind of periodic solutions. In addition, we consider the concentration properties of blow-up solutions for the system under study. At the end of this paper, we establish the global existence of weak solutions to the Cauchy problem of the system under consideration. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：953 / 982

页数：30

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