Event Detail

Event Type: 
Analysis Seminar
Date/Time: 
Monday, April 8, 2019 - 12:00 to 13:00
Location: 
STAG 160

Speaker Info

Institution: 
Penn State University
Abstract: 

I will discuss recent results on the analysis of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations converge to solutions of the Euler equations, for incompressible fluids when walls are present. At small viscosity, a viscous boundary layer arise near the walls where large gradients of velocity and vorticity may form and propagate in the bulk (if the boundary layer separates). A rigorous justification of Prandtl approximation, in absence of analyticity or monotonicity of the data, is available essentially only in the linear or weakly linear regime under no-slip boundary conditions. I will present in particular a result on concentration of vorticity at the boundary for symmetric flows and the justification of Prandtl approximation for an Oseen-type equation (linearization around a steady Euler flow) in general smooth domains, quantifying the effect of curvature on the pressure correction.

This talk will be given in a joint Analysis/Applied Math and Computation seminar.