Linear Stability of Contact Discontinuities in Three-Dimensional Compressible Isentropic Steady Flows

Hyperbolic and Mixed Type PDEs Seminar

Meeting Details

For more information about this meeting, contact Stephanie Zerby.

Speaker: Fang Yu, Penn State

Abstract: 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: 216 McAllister

Date: 12/03/2013

Time: 10:00am - 10:50am