Blowup for Classical Solutions of Isothermal Euler Equations in R^N with the Second Inertia Functional of Reference
数学专题报告
报告题目(Title)： Blowup for Classical Solutions of Isothermal Euler Equations in R^N with the Second Inertia Functional of Reference
报告人(Speaker)：Yuen Man Wai (Education University of Hong Kong)
地点(Place)：后主楼1220
时间(Time)：11月15日（周五），10:00-11:00
邀请人(Inviter)：王灯山
报告摘要
In this paper, we consider the general N-dimensional isothermal compressible Euler equations such that the initial density is with a positive background density. By investigating the relations among the total reference mass, total reference energy and the reference second inertia H(t) in this non-vacuum case, we establish a finite time blowup result with large data. More precisely, we show that sufficiently large of
-(H(0)+ H′(0)) guarantees that the classical solutions of the system cannot survive smoothly on or before the time t=1. This is a sole blowup condition depending only on initial data and initial parameters.
主讲人简介
Dr. YUEN Man Wai has been an assistant professor in the Education University of Hong Kong. He obtained a Ph.D. in applied math from the Hong Kong Polytechnics University. Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, especially involving blowup phenomena and similar solutions. Dr. Yuen's about 90 journal papers (with 80 SCI or SCIE). His published papers have accumulated 685 citations and a H-index 15 from Scopus.
