PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tianyou Zhang, Stephanie Zerby.

Title:The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Tianyou Zhang, Penn State
Abstract:
A key issue in gas dynamics in two space dimensions is the regularity of solutions near a sonic curve. We build a large class of regular solutions with given boundary conditions on the sonic line. The modeling equation is the pressure gradient equation, which is the same as Euler system when the parameters of the gas are pushed to certain extreme. We use a novel set of coordinates, involving both the space-time and state variables, to split regular terms from singular terms in the analysis.

Room Reservation Information

Room Number:MB216
Date:09 / 06 / 2012
Time:10:00am - 10:50am