1:00 pm Wednesday, December 13, 2017
Analysis Seminar: Global-in-x Steady Prandtl Expansion over a Moving Boundary by Sameer Iyer (Brown University) in RLM 10.176
I will outline the proof that steady, incompressible Navier-Stokes flows posed over the moving boundary, y = 0, can be decomposed into Euler and Prandtl flows globally in the tangential variable, assuming a sufficiently small velocity mismatch. The main obstacles in the analysis center around obtaining sharp decay rates for the linearized profiles and the remainders. The remainders are controlled via a high-order energy method, supplemented with appropriate embedding theorems, which I will present. Submitted by
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