Math Courses

Topics in Fluid Dynamics

by Pierangelo Marcati (GSSI)

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Description

 

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