Blow-up Dynamics of L^2 Solutions for the Davey–Stewartson System  

作　　者：Shi Hui ZHU 

机构地区：[1]Department of Mathematics, Sichuan Normal University

出　　处：《Acta Mathematica Sinica,English Series》2015年第3期411-429,共19页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11371267);Research Fund for the Doctoral Program of Higher Education of China(Grant No.20125134120001)

摘　　要：We study the blow-up solutions for the Davey-Stewartson system（D-S system, for short）in L2x（R2）. First, we give the nonlinear profile decomposition of solutions for the D-S system. Then, we prove the existence of minimal mass blow-up solutions. Finally, by using the characteristic of minimal mass blow-up solutions, we obtain the limiting profile and a precisely mass concentration of L2 blow-up solutions for the D-S system.We study the blow-up solutions for the Davey-Stewartson system（D-S system, for short）in L2x（R2）. First, we give the nonlinear profile decomposition of solutions for the D-S system. Then, we prove the existence of minimal mass blow-up solutions. Finally, by using the characteristic of minimal mass blow-up solutions, we obtain the limiting profile and a precisely mass concentration of L2 blow-up solutions for the D-S system.

关 键 词：Davey-Stewartson system minimal mass blow-up solution profile decomposition limiting profile mass concentration 

分 类 号：O175[理学—数学]