讲座题目：Developments and Applications of Delta Shock Waves 主讲人：杨汉春 教授 主持人：袁海荣 教授 开始时间：2020-10-21 15:00:00 讲座地址🥓：腾讯会议ID：424 957 78 主办单位👩🏼🎤：数学科学学院
报告人简介： 杨汉春👊🏼，云南大学教授🏃♂️、博士生导师，现任云南大学数学与统计学院副院长，东南亚数学学报责任编辑👳🏿、中国数学会理事、云南省数学会秘书长。他在中国科学院获得博士学位，是我国从事双曲守恒律方程数学理论研究的著名专家⚗️🍳，特别是对守恒律方程的delta激波等奇异测度解理论作了系统、深入的研究和探索，指导、培养了一大批优秀的青年学者，在国内外具有重要的影响力。
报告内容📽： In this talk, we first present an overview of the delta shock waves. Then we introduce our researches on the delta shock waves with Dirac delta functions developing in both state variables for a class of nonstrictly hyperbolic systems of conservation laws. We show the generality and practicability of our theory on the delta shock waves which can be successfully applied to those systems investigated by Korchinski(1977), Tan, Zhang and Zheng(1991), Ercole(2000), Cheng and Yang(2011), etc, and we give a simplified approach to solve a two-dimensional Riemann problem for the Burgers-type equations considered by Tan and Zhang(1990) for the 4Js’ case. Finally, we also present some recent researches for the equations of geometrical optics proposed by Engquist and Runborg in 1996.
|
