题目：Numerical and analytical investigations for the blow-up dynamics for some nonlinear dispersive equations.

报告人：杨开（重庆大学）

时间：3月12日（周三）14:00-15:00

地点：五教5504

摘要:  We discuss some results about the existence and stable blow-up solutions and their dynamics for the L2 critical and super-critical nonlinear Schrodinger type and the KdV type equations. These results are obtained from both numerical and analytical approaches. In general, the analysis of the solution dynamics is based on the perturbation of the soliton solution for the L2 critical case. However, it turns out that the dynamics of the super-critical case is no longer around the soliton, and consequently, becomes challenging to launch the analytical study at this moment.