报告一：Man Kam Kwong

报告题目：Proving Inequalities with the Help of the Computer
报告人：   Prof.Man Kam Kwong   香港理工大学
主持人：   唐晓艳  教授
报告时间：2019年6月18日  周二9:00-10:00 
报告地点：数学馆东202

报告摘要：
Inequalities are useful in all areas of analysis. They are usually not studied in their own rights, but are used as tools in other areas, for example, to obtain error estimates in numerical studies, to prove convergence of sequences and series, to establish existence of solutions of differential equations, etc.Proving inequalities rigorously is an art because there are no silver bullets that work in all situations. The speaker will describe some of the tools used in his recent work, especially those that involves the use of computer and numerical software.Topics include the use of monotone functions, the classical Sturm Theorem for algebraic polynomials, trigonometric inequalities, and the monotone L'Hopital rule.

报告人简介：
Professor Kwong is a retired chair professor of the Department of Applied Mathematics, Hong Kong Polytechnic University. He received a Ph.D. in Mathematics from the University of Chicago. His research interests include differential equations, classical analysis, inequalities, matrix theory, and the application of computer in analysis. He has published over 170 papers in refereed journals and is an ISI-Highly Cited scholar.

报告二：Manwai Yue

报告题目：Analytical Solutions to the Compressible Euler Equations
报告人：   Manwai Yue  Assistant professor  香港教育大学
主持人：   唐晓艳  教授
报告时间：2019年6月18日  周二10:00-11:00
报告地点：数学馆东202
 

报告摘要：
In this talk, we present rotational and self-similar solutions for the compressible Euler equations in R^N using the separation method and the Cartesian matrix method. Some blowup phenomena and global existences of the responding solutions can be determined. The analytical solutions provide concrete reference examples for vortices in computational fluid dynamics.
报告人简介：
Dr. Yue is an assistant professor in the Department of Mathematics and Information Technology at the Education University of Hong Kong. He received a Ph.D. in Applied Mathematics from the Hong Kong Polytechnic University. His research interests include Symmetry Reduction, Euler-Poisson, Navier-Stokes, Camassa-Holm, Degasperis-Procesi, Blowup, Self-Similar Solutions, Construction of Solutions, Global Existence and Methodology of Mathematics. He has published over 50 refereed journal papers.