Blow-up dynamics of L 2 solutions for the Davey-Stewartson system

We study the blow-up solutions for the Davey-Stewartson system (D-S system, for short) in L 2x(.2). 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 L 2 blow-up solutions for the D-S system.