Two-dimensional Riemann problems for compressible Euler systems

Series
PDE Seminar
Time
Tuesday, April 19, 2011 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Prof. Yuxi Zheng – Penn State University and Yeshiva University, – yzheng1@yu.edu
Organizer
Ronghua Pan
We consider Riemann problems for the compressible Euler system in aerodynamics in two space dimensions. The solutionsinvolve shock waves, hyperbolic and elliptic regions. There are also regions which we call semi-hyperbolic. We have shownbefore the existence of such solutions, and now we show regularity of the boundaries of such regions.