报告题目：Transonic Shocks in Curved Nozzles
报告人：辛周平，香港中文大学教授
报告摘要：In this talk, I will discuss some progress on Courant-Friedrich's transonic shock problem for the steady compressible flows in nozzles with variable cross sections.This will be a nonlinear free boundary value problem with nonlinear boundary conditions for mixed typed equations. First, I will review some results on the structural stability of Courant-Friedrich's transonic shock solutions for a general classes of general 2-dimensional Nozzles which are generic small perturbation of straight expanding nozzles, and 3D axisymmetric nozzles. Then I will discuss the transonic shock problems for nozzles which are generic small perturbations of a 2-dimensional flat nozzle so that the position of the normal shock is arbitrary. Existence of single or multiple transonic shocks will be discussed in terms of the geometry of the nozzle and the given exit pressure Based on an elaborately designed linear free boundary value problem. Some ideas of analysis will be presented. Finally, we discuss some open problems.
报告人简介：辛周平，教授，1988年在美国密歇根大学获数学博士学位，后加入美国纽约大学柯朗数学研究所并于1996年成为终身教授。现任香港中文大学数学科学研究所常务所长、蒙民伟数学讲座教授。辛周平教授长期从事流体力学偏微分方程理论研究，在双曲守恒律、高维激波、边界层理论、可压流体与不可压流体方程和松弛格式等领域做出了重要的具有国际影响的研究成果，是美国 Sloan Research Fellow，曾在2002年国际数学家大会上做45分钟报告，在2004年的“国际华人数学家大会”上获“晨兴数学奖金奖”。辛周平是国际杂志MAA主编，JMP 和 M2AS副主编，M3AS, SCM等杂志的编委。
报告邀请人：非线性泛函分析与偏微分方程科研团队
报告时间：2020年10月28日 10:00-11:30
报告地点：腾讯会议ID: 719420045
