Special Colloquium
Toan Nguyen
Brown Univeirsty
On the stability of boundary layers in the Navier-Stokes equationss
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 review recent developments on stability of boundary layers (for
both compressible and incompressible fluids). In particular, I will
present main ingredients of a stability analysis of suction/blowing
boundary layers. I will also discuss various ill-posedness results
obtained for the classical Prandtl boundary layers and the relevance
of boundary-layer expansions in the inviscid limit of the
Navier-Stokes equations.
Monday January 23, 2012 at 3:00 PM in SEO 636