华罗庚青年数学论坛

华罗庚青年数学论坛:Blow-up dynamics for slightly $L^2-$ supercritical gKdV equations

发布时间:2019-07-09

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 YangUniversitt Basel

Blow-up dynamics for slightly $L^2-$ supercritical gKdV equations

2019.07.10(星期三),15:00-17:00

2019.07.12(星期五),15:00-17:00

点:数学院南楼N224

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.


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