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math.PR2022
Weak and strong versions of the Kolmogorov 4/5-law for stochastic Burgers equation
Peng Gao, Sergei Kuksin
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law which provides an asymptotic expansion for the third moment o…
math.DS2022
Averaging and mixing for stochastic perturbations of linear conservative systems
Guan Huang, Sergei Kuksin
We study stochastic perturbations of linear systems of the form where is a linear operator with n…
math.PR2022
On averaging and mixing for stochastic PDEs
Guan Huang, Sergei Kuksin
We examine the convergence in the Krylov--Bogolyubov averaging for nonlinear stochastic perturbations of linear PDEs with pure imaginary spectrum and show that if the involved effe…