PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:On the stability of Prandtl boundary layers and the inviscid limit of the Navier-Stokes equations
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Toan Nguyen, Brown University
Abstract:
In fluid dynamics, one of the most classical issues is to understand the dynamics of viscous fluid flows past solid bodies (e.g., aircrafts, ships, etc...), especially in the regime of very high Reynolds numbers (or small viscosity). Boundary layers are typically formed in a thin layer near the boundary. In this talk, I shall present various ill-posedness results on the classical Prandtl equation, and discuss the relevance of boundary-layer expansions and the vanishing viscosity limit problem of the Navier-Stokes equations. I will also discuss viscosity effects in destabilizing stable inviscid flows.

Room Reservation Information

Room Number:MB106
Date:11 / 18 / 2011
Time:03:35pm - 04:25pm