Promoting collaboration across the theoretical sciences
neuron star.jpg

Calendar

Back to All Events

Modern kinetics and turbulence theory

  • Room 5209, Graduate center CUNY 365 5th Avenue New York, NY, 10016 United States (map)

Modern kinetics and turbulence theory

5-lecture mini-course

Gregory Falkovich


I. Interacting particles.

1. Quantum kinetic equation and its two limits, Boltzmann and wave kinetics. Liouville equation and derivation of the Boltzmann equation. H-theorem and mutual information. Stationary solutions (and their entropies).

2. Non-equilibrium solutions and kinetic coefficients: diffusivity and viscosity. Corrections to the Boltzmann equation, resummation of divergences, multi-particle correlations and memory effects.

II. Interacting waves

3. Kinetic wave equations and weak turbulence solutions.

4. Validity of kinetic equations for turbulence: corrections, divergences and renormalized kinetic equations.

5. Strong wave turbulence: zero charge (flux-dependent spectra) and confinement (universal spectra).

If time allows: turbulence in incompressible fluids.