The pressure-gradient system and semi-hyperbolic patches of solutions

CCMA PDEs and Numerical Methods Seminar Series

Meeting Details

For more information about this meeting, contact Yuxi Zheng.

Speaker: Kyungwoo Song, Kyung Hee University

Abstract: We introduce a pressure-gradient system derived from the two-dimensional compressible Euler system and we construct patches of solutions of the 2-D Riemann problems for the pressure-gradient system. In the self-similar plane, we verify that there are elliptic regions, hyperbolic regions, and sonic boundary parts. In addition, it is also verified that there is a zone called semi-hyperbolic or partially hyperbolic in which one family out of two nonlinear families of characteristics starts on sonic curves and ends on transonic shock waves.

Room Reservation Information

Room Number: 216 McAllister

Date: 02/16/2009

Time: 3:35pm - 4:25pm