PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tianyou Zhang.

Title:The regularity of semi-hyperbolic patches near sonic lines for the two-dimensional Euler Equations in gas dynamics
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Yuxi Zheng
Abstract:
We study the regularity of semi-hyperbolic patches of self-similar solutions near sonic lines to a general Riemann problem for the two-dimensional Euler equation. As a result, it is verified that the sonic line has C1-regularity. The study of the semihyperbolic patches of solutions for the Euler system was initiated by Mingjie Li and Yuxi Zheng [Arch. Ration. Mech. Anal., 2011, pp. 1069-1096]. This type of solution appears in the transonic flow over an airfoil and Guderley reflection, and is common in the numerical configurations of Riemann problems.

Room Reservation Information

Room Number:MB216
Date:01 / 23 / 2014
Time:10:00am - 10:50am