The Seminar on Analysis. Speaker: Sergei Kuksin

Two approaches to average stochastic perturbations of an integrable system

Abstract:  The two approaches, mentioned in the title, are: write the perturbed equation in the action-angle variables and then average the obtained fast/slow system,  or alternatively, inspired by the Krylov--Bogolyubov work, reduce the task to averaging of a "suitably guessed" auxiliary system in the original space, with fast rotating coefficients. I will explain that the second approach has significant advantages compare to the first. The talk is based on a joint work with Huang Guan and Andrey Piatnitski.

YouTube:  http://www.youtube.com/@mathematicsathse1021

 

P.S.  The video of the previous seminar talk by S. B. Kuksin is now available at the following link: https://www.youtube.com/watch?v=fMNAUy18ZvE.

 presentation Kuksin_Seminar on Analysis (PDF, 157 Кб)