Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium Toan Nguyen Penn State Title: L-infinity instability of Prandtl layers Abstract: In 1904, Prandtl introduced his famous boundary layer theory to describe the behavior of solutions of incompressible Navier Stokes equations near a boundary in the inviscid limit. His ansatz was that the solution of Navier Stokes can be described as a solution of Euler, plus a boundary layer corrector, plus a vanishing error term in $L^\infty$. In this talk, I will present a recent joint work with E. Grenier (ENS Lyon), proving that, for a class of explicit regular solutions of Navier Stokes equations, this Prandtl's Ansatz is wrong. Time permitting, I will briefly show that even near monotonic boundary layers, the Prandtl's asymptotic expansions are invalid.Recording: http://mm.math.cmu.edu/recordings/cna/toan_nguyen_small.mp4Date: Tuesday, March 6, 2018Time: 1:30 pmLocation: Wean Hall 7218Submitted by:  Ian Tice