For more information about this meeting, contact Tianyou Zhang.
|Title:||The regularity of semi-hyperbolic patches near sonic lines for the two-dimensional Euler Equations in gas dynamics|
|Seminar:||Hyperbolic and Mixed Type PDEs Seminar|
|Speaker:||Yuxi Zheng, Penn State University|
|We study the regularity of semi-hyperbolic patches of self-similar solutions
near sonic lines to a general Riemann problem for the two-dimensional Euler equation.
As a result, it is verified that the sonic line has C1-regularity. The study of the semihyperbolic
patches of solutions for the Euler system was initiated by Mingjie Li and
Yuxi Zheng [Arch. Ration. Mech. Anal., 2011, pp. 1069-1096]. This type of solution
appears in the transonic flow over an airfoil and Guderley reflection, and is common in
the numerical configurations of Riemann problems.|
Room Reservation Information
|Date:||01 / 21 / 2014|
|Time:||10:00am - 10:50am|