Diff. Geom, Math. Phys., PDE Seminar: Anna Mazzucato
Topic
On the vanishing viscosity limit for incompressible flows
Speakers
Details
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.
Additional Information
Location: MATH 126
Anna Mazzucato. Penn State
Anna Mazzucato. Penn State
This is a Past Event
Event Type
Scientific, Seminar
Date
April 2, 2019
Time
-
Location