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: 王树茂 （首都师范大学）
Title: The blow up solutions of a toy model in fluidmechanics
Language: Chinese
Time & Venue: 2026年10月14日（星期三） 16:00-17:00 南楼N402
Abstract: We construct finite-time blow up solutions for a toy model in fluid mechanics, which was firstly analysed by Plecháč-Šverák. The blow up mechanism uses an inviscid-to-viscous, vanishing-viscosity scheme, which is motivated by Merle, Raphaël, Rodnianski and Szeftel. Moreover, the blow-up follows a discrete family of explicit slower-than-parabolic profilesand blow-up rates, and is finite-codimensionallystablewithin the radial class.