Session S22 - Deterministic and probabilistic aspects of nonlinear evolution equations

Friday, July 16, 16:35 ~ 17:05 UTC-3

Full derivation of the wave kinetic equation

Zaher Hani

University of Michigan, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

I will be discussing a recent joint work with Yu Deng (USC) in which we give the full derivation of the wave kinetic equation from the NLS equation. The result is the wave analog of Lanford's theorem justifying the derivation of Boltzmann equation from particle system dynamics. This resolves a central problem in wave turbulence theory.

Joint work with Yu Deng (University of Southern California).

View abstract PDF