Blow-up for the Davey-Stewartson System with the Subcritical Nonlinearity
时 间：2018-05-17 10:00-11:00
In this talk, we study the two dimensional Davey-Stewartson system in the subcritical case 1 < p < 3. By exploiting a new variational characteristic, we can obtain an increasing order of the subcritical non- linearity by the stability theory for nonlinear Schrodingcr equations, and then construct the finite lime blow-up solutions, which suggests the sharp threshold mass of blow-up and global existence for the Davey- Stewartson system in the case 1 < p < 3. Moreover, we give the scaling blow-up rate for the Davey-Stewartson system without scaling invariance due to 2 < p < 3. And we also find a precisely sharp criteria of blow-up and global existence for the Davey-Stewartson system in the case 3 < p < +〇〇.