Seminars & Colloquia Calendar
On the Prandtl's boundary layer theory
Toan Nguyen, Penn State University
Location: HILL 705
Date & time: Tuesday, 19 September 2017 at 1:40PM - 2:40PM
Abstract: A fundamental problem in fluid dynamics is to understand the asymptotic behavior of Navier-Stokes flows in the inviscid or high Reynolds number limit. In domains with a boundary, the classical Prandtl's theory is to postulate the flow into an inviscid one, plus a boundary layer.
In this talk, I shall present recent results, based on joint work with E. Grenier, showing in particular that the Prandtl's ansatz is not valid, when involving a single Prandtl's layer (regardless of their initial stability property with respect to the inviscid flow).