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Semi-hyperbolic patches of solutions<br/><br/>to two-dimensional compressible Euler systems

Monday, July 27, 2009 - 9:00am - 9:50am
EE/CS 3-180
Yuxi Zheng (The Pennsylvania State University)
We show that there are supersonic solutions to the
Euler system that are not hyperbolic in the traditional
sense. These solutions occur at the transonic region,
whose characteristics may both come from the sonic line and
end at the sonic line. Based on the new wave structure,
we offer perspectives to construct global transonic
solutions to the Riemann problems.
MSC Code: 
35Q31
Keywords: