| Blow-up Dynamics of L~2 Solutions for the Davey–Stewartson System |
| |
| 基金项目： | Supported by National Natural Science Foundation of China (Grant No. 11371267) and 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.
|
Blow-up dynamics of L
2 solutions for the Davey-Stewartson system |
| |
| Authors: | Shi Hui Zhu |
| |
| Institution: | Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China |
| |
| Abstract: | We study the blow-up solutions for the Davey-Stewartson system (D-S system, for short) in Lx2 (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. |
| |
| Keywords: | Davey-Stewartson system minimal mass blow-up solution profile decomposition limiting profile mass concentration |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |
