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.