Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Philippe G. Ciarlet and Prof. Roderick Wong

Multi-Dimensional Conservation Laws and Transonic Shock Waves

by
Professor Zhouping Xin
The Institute of Mathematical Sciences and Department of Mathematics,
The Chinese University of Hong Kong

Date: March 24, 2004 (Wednesday)
Time: 4:30 pm to 5:30 pm
Venue: Room B6605 (Faculty Conference Room)
Blue Zone, Level 6
Academic Building
City University of Hong Kong

Abstract: In this talk, I will discuss some perspectives and recent progresses in the theory of multi-dimensional systems of nonlinear conservation laws. In particular, I will present the recent theory on the existence and stability of transonic shocks for the steady flow through a general multi-dimensional nozzle with variable sections due to Huicheng Yin and myself. This is free boundary value problem for a quasilinear mixed type equation, the potential equation. The results confirm the conjecture of Courant-Friedrichs on the transonic phenomena in a nozzle. Other related problems will be discussed too.

(Tea, coffee and cookies will be provided at the Faculty Common Room in B6501 before the colloquium from 4:00 to 4:30 pm. Please come and join us!)

** All interested are welcome **

For enquiry: 2788-9816

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