Introduction to boundary layers and the vanishing viscosity limit for incompressible flows

by Prof. Anna Mazzucato (Penn State University)

Wednesday 12 May 2021, 15:00 → 17:00 Europe/Rome

GSSI

Program:

- Boundary layers for linear equations:  ODE case, Laplace's equations;

- Boundary layers for fluids: formal derivation of Prandtl equation, Blasius boundary layer, layer separation (formally), overview of some results concerning Prandtl equation (no proofs);

- Naviers-Sokes and Euler equations: review;

- Vanishing viscosity limit: Kato's criterion, plane parallel and pipe flows, vorticity concentration at the boundary.