1. Thermodynamics and Statistical Mechanics.

  2. The physical foundations and heuristics for stochastic and deterministic approaches in fluid mechanics.

  3. Vlasov equations and hydrodynamic limits.

  4. Variational methods in Fluids (deterministic and stochastic).

  5.  Optimal Transport in fluid mechanics.

  6. Existence, regularity, uniqueness, stability for Navier-Stokes equations and related problems.

  7. Boundary conditions: no-slip, slip, artificial.

  8. Boundary layers. Navier-Stokes's, Euler's, Prandtl's and related equations.

  9. Large deviation techniques for Navier-Stokes type equations.