03-29【杨 开】腾讯会议 吴文俊数学重点实验室微分方程系列报告之1

发布者:万宏艳发布时间:2021-03-24浏览次数:72

题目: Singularity formations in the nonlinear Schrodinger-type equations


报告人:杨开 (International Florida University)


时间:3月29日上午9:30-10:30


地点:腾讯会议 点击链接入会,或添加至会议列表:

https://meeting.tencent.com/s/PT6ncRlIaYrA


会议 ID:700 190 399


会议密码:123456


摘要: We present two different approaches that showing the stable blow-up solutions in the L^2-critical NLS equation (the log-log blow-up dynamics up to the dimension 12). One approach is the direct numerical simulation via the Dynamic rescaling method, and then, combined with the asymptotic analysis of the rescaled equation. The other approach is to prove the Spectral property with the numerical assistance. Then, use such Spectral property in the analysis to complete the proof. We next show the similar numerical results (from the Dynamic rescaling method) that we obtained for the generalized Hartree equation (the NLS equation with non-local potential).