For more information about this meeting, contact Tianyou Zhang.
|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|
|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
|Date:||09 / 06 / 2012|
|Time:||10:00am - 10:50am|