报告专家：YUEN Manwai  ( the Education University of Hong Kong)

报告题目：Blowup of Sideris’ Functional of Average Radial Momentum for Solutions to Euler Equations in Fluid Dynamics in

报告地点：Zoom会议 ID:  995 2883 7300

报告时间：2021年8月4日 9：30-10：30

主持人：董焕河

报告简介：In this talk, the non-isentropic and incompressible Euler equations are the classical modeling in fluid dynamics. Considering a fluid filling a bounded domain in (), by vacuum for, we combine the functional of the average radial moment, with an estimate of the moment inertia proposed by Sideris; and with the integration method to make an advancement in the solutions to the problem of obtaining blowup results for the case of solution to the Euler equations. To the best of our knowledge, for the compressible Euler equations, Lei-Du-Zhang obtained the first blowup result for for the Cauchy problem with solutions and vacuum with the radial symmetry assumption. We obtain the first blowup result for for the Cauchy problem with solutions and vacuum and without the radial symmetry assumption.

专家个人简介：Dr. YUEN Manwai is an assistant professor in the Department of Mathematics and Information Technology at the Education University of Hong Kong. Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, specially involving blowup phenomena and similar solutions. Dr. Yuen's 65 journal papers(with 58 SCI or SCIE) were published by 31 international Math and Physics journals, including Journal of Mathematical Analysis and Applications, Communications in Nonlinear Science and Numerical Simulation, Journal of Mathematical Physics, Physics Letters A, Nonlinear Analysis, Applied Mathematics Letters and Studies in Applied Mathematics. His published papers have accumulated 418 citations and a H-index 12 from Scopus.