PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Hope Shaffer.

Title:On the well-posedness of the hydrostatic limit in fluid mechanics
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Michael Renardy, Virginia Tech Math
Abstract:
The talk will review some recent results on the well-posedness of the hydrostatic Euler equations. In particular, the role of boundary conditions (walls or free surface) will be emphasized. The results show that well-posedness of these equations is not a local property, for instance, it turns out that flows with one free surface are well-posed while flows with two free surfaces are ill-posed. It is also shown that magnetic fields or fluid elasticity can restore the well-posedness of the equations. I shall also discuss the implications for boundary layers in high Weissenberg number viscoelastic flows

Room Reservation Information

Room Number:MB106
Date:10 / 12 / 2012
Time:03:35pm - 04:25pm