Compactness on Multidimensional Steady Euler Equations

Series: 
PDE Seminar
Thursday, April 9, 2015 - 15:05
1 hour (actually 50 minutes)
Location: 
Skile 005
,  
The Chinese University of Hong Kong
This is a special PDE seminar in Skiles 005. In this talk, we will introduce the compactness framework for approximate solutions to sonic-subsonic flows governed by the irrotational steady compressible Euler equations in arbitrary dimension. After that, similar results will be presented for the isentropic case. As a direct application, we establish several existence theorems for multidimensional sonic-subsonic Euler flows. Also, we will show the recent progress on the incompressible limits.