中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 朱世辉 教授（四川师范大学）
Inviter: 范晨捷
Language: Chinese
Title: Orbital Stability of Standing Waves for the D-S System with a Defocusing Perturbation
Time & Venue: 2026年3月10日（星期二）20：00-21：00 （腾讯会议：461-175-850会议密码：123456）
Abstract:This talk studies the sharp criteria of blow-up and global existence of solutions to the Davey-Stewartson system with a defocusing perturbation, and then the open problem proposed by Gan and Zhang (Commun. Math. Phys., 283(1), 93-125, 2008) is solved. The lower bound rate of blow-up solutions for the Davey-Stewartson system is obtained by overcoming the loss of scaling invariance. Finally, a sharp criteria of the existence of stable standing waves is obtained by constructing cross-constraint flows and variational problems. This work joint with Guoyi Fu.
附件：