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Blow-up Dynamics of $L^2$ Solutions for theDavey-Stewartson System
ZHU Shihui *
Department of Mathematics, Sichuan Normal University,Chengdu 610066
*Correspondence author
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Funding: National Natural Science Foundation of China（No.Grant No. 11371267）, Research Fund for the Doctoral Program of Higher Education of China（No.Grant No. 20125134120001）
Opened online: 5 October 2014
Accepted by: none
Citation: ZHU Shihui.Blow-up Dynamics of $L^2$ Solutions for theDavey-Stewartson System[OL]. [ 5 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4611454
 
 
In this paper, the blow-up solutions for the Davey-Stewartson system (D-S system, for short)are studied in $L_x^2(mathbb{R}^2)$. First, the nonlinear profile decomposition of solutions for theD-S system is given. Then, the existence of minimal mass blow-up solutions is proved. Finally, by using the characteristic of minimal mass blow-up solutions, the limiting profile and a precisely mass concentration of $L^2$ blow-up solutions for the D-S system are obtained.
Keywords:Davey-Stewartson system, minimal mass blow-upsolution, profile decomposition, limiting profile, mass concentration.
 
 
 

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