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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Anna Mazzucato
Penn. State
Title: The vanishing viscosity limit for channel and pipe flows

Abstract: We will discuss some results concerning the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations converge to solutions of the Euler equations as viscosity vanishes, in the presence of boundaries.

We consider certain Taylor-Couette flows in channels and pipes, and establish convergence of Navier-Stokes solutions to Euler solutions as viscosity vanishes in various norms. We use both semiclassical analysis of the small-diffusion limit for a heat equation with drift, and Pradtl-type equations. This is joint work with Dongjuan Niu, Michael Taylor, and Xiaoming Wang.

Date: Tuesday, October 26, 2010
Time: 1:30 pm
Location: Wean Hall 8220
Submitted by:  Gautam Iyer