报告人：辛周平 教授 （香港中文大学）
报告时间：2021年6月23日 周三 上午 10:00 – 11:00
腾讯会议：628 246 668
报告题目：On Courant-Friedrich's Transonic Shock Problem in Curved Nozzles
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 class of general 2-dimensional nozzles which are generic small perturbations of straight expanding 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. Finally, some generalizations to 3D axisymmetric nozzles will be presented. Some ideas of analysis will be presented.
专家简介：
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卓越的贡献。曾获美国“Sloan奖”、“美国总统奖”，获邀在2002年国际数学家大会上做45分钟报告，并在2004年的国际华人数学家大会上获“晨兴数学奖金奖”。辛周平教授是国际杂志MAA主编，JMP和M2AS副主编，M3AS、SCM等杂志的编委。