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, Penn State|
|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
|Date:||12 / 05 / 2013|
|Time:||10:00am - 10:50am|