Linear Stability of Contact Discontinuities in Three-Dimensional Compressible Isentropic Steady Flows
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
Time: 10:00am - 10:50am