Two-dimensional Riemann problems for compressible Euler systems
- Series
- PDE Seminar
- Time
- Tuesday, April 19, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Prof. Yuxi Zheng – Penn State University and Yeshiva University, – yzheng1@yu.edu
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.