Topics in Fluid Dynamics

by Pierangelo Marcati (GSSI)

Friday 1 May 2020, 09:00 → Sunday 31 May 2020, 11:00 Europe/Rome

 

Lecturer
Pierangelo Marcati (GSSI)

Course Content

1. Vortex Patches (Chemin, Bertozzi Constantin)
2. Vortex sheets, Birkhoff-Rott equations,  Kelvin-Helmholtz instability, Caflish Orellana
3. Delort Theorem
4. Di Perna Majda program – Concentration, defects, measure valued solutions 
5. Vanishing Viscosity on Tori, Boundary conditions- Kato property
6. Prandtl type expansion - Rotating case Ekman layers – Navier BC -Analytic case (Caflish Sammartino)
7. Recent progress by Grenier and Masmoudi 
8. Shear flows Reyleigh, Fjostrom, Orr Sommerfeld, Arnold stability,  Couette case,
9. Pseudospectral analysis – Trefheten