中科院数学与系统科学研究院
数学研究所
华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人: Lan Yang(Universit?t Basel)
题 目:Blow-up dynamics for slightly $L^2-$ supercritical gKdV equations
时 间:2019.07.10(星期三),15:00-17:00
2019.07.12(星期五),15:00-17:00
地 点:数学院南楼N224室
Abstract : We consider the generalized KdV equation with a slightly supercritical nonlinearity. We will prove the existence of stable blow-up solutions with self-similar blow-up rate in the energy space $H^1$ and give a specific description of its blow-up dynamics. We will also prove the existence of blow-up solutions with multiple blow-up points.