Analysis Seminar

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Prandtl's Boundary Layers: the Good, the Bad, and the Ugly

Speaker: Toan Nguyen, Penn State University

Location: Warren Weaver Hall 1302

Date: Thursday, October 27, 2016, 11 a.m.

Synopsis:

I will present several recent results concerning the classical Prandtl's boundary layer asymptotic expansions of Navier-Stokes in the inviscid limit. While the expansion has been proven for analytic data (or even for Gevrey data), the expansion is highly unstable for less regular data in view of the classical linear stability theory of shear flows. I will discuss recent advances on the instability of the Prandtl's expansion.