Wednesday, January 26, 2022 12:00 PM
Minh-Binh Tran (MIT and SMU)

Wave turbulence describes the dynamics of both classical and non-classical nonlinear waves  out of  thermal equilibrium. Recent mathematical interests on wave turbulence theory have the roots from the works of Bourgain, Staffilani and Colliander-Keel-Staffilani-Takaoka-Tao. In this talk, I will present some of our recent results on wave turbulence theory. In the first part of the talk, I will discuss our rigorous derivation of wave turbulence equations. The second part of the talk is devoted to the analysis of wave turbulence equations as well as some numerical illustrations. The last part concerns some physical applications of wave turbulence theory. The talk is based on my joint work with Staffilani (MIT), Soffer (Rutgers) and Pomeau (ENS Paris).