PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Linear Stability of Contact Discontinuities in Three-Dimensional Compressible Isentropic Steady Flows (continued)
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Fang Yu, The Pennsylvania State University
In this talk, we will discuss the linear stability of contact discontinuities in three-dimensional compressible isentropic steady Euler equations for supersonic flows. By developing Kreiss, Coulombel and Secchi's arguments for a boundary value problem of hyperbolic equations involving poles in coefficients derived from the linearized problem at a supersonic planar contact discontinuity, we obtain a necessary and sufficient condition for the linear weak stability of contact discontinuities. Moreover, the a priori energy estimates of solutions to this linearized problem are also obtained in the weakly stable region by constructing appropriate symmetrizers microlocally.

Room Reservation Information

Room Number:MB216
Date:12 / 12 / 2013
Time:10:00am - 10:50am