Speaker: Dymov Andrey Victorovich
Date: 07 July 2021
Time: 21:00 - 22:00

Join Zoom Meeting of Wuhan Center for Math Sci
https://zoom.us/j/5066356571?pwd=Nld1Vmd5NzNvYnhpMmxkb1pBdWlBUT09
Meeting ID: 506 635 6571
Passcode: 654321


Title: On the Zakharov-L’vov stochastic model for wave turbulence

Abstract: The wave turbulence (WT) was developed in 1960's by V.E. Zakharov and his school as a heuristic tool to study small-amplitude oscillations in nonlinear Hamiltonian PDEs with periodic boundary conditions of large period. Since then WT has been intensively developed in physical works. In recent years several mathematical works were published, where some progress in rigorous justification of the theory was achieved.
The principal assertion of WT is that one of the main characteristics of solution, called the energy spectrum, approximately satisfies a nonlinear kinetic equation, called the wave kinetic equation. I will talk about my joint works with S.B. Kuksin, A. Maiocchi and S. Vladuts in which we achieved some progress in rigorous justification of this assertion for the energy spectrum of the damped/driven nonlinear Schrodinger equation. This stochastic model for WT was earlier suggested by Zakharov and L’vov.