arXiv Analytics

Sign in

arXiv:2203.15622 [math.PR]AbstractReferencesReviewsResources

On averaging and mixing for stochastic PDEs

Guan Huang, Sergei Kuksin

Published 2022-03-29Version 1

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 effective equation is mixing, then the convergence is uniform in time.

Categories: math.PR, math-ph, math.AP, math.MP
Subjects: 35R60, 35Q56
Related articles: Most relevant | Search more
arXiv:math/0310210 [math.PR] (Published 2003-10-15, updated 2006-02-09)
The harmonic explorer and its convergence to SLE(4)
arXiv:1205.2682 [math.PR] (Published 2012-05-11, updated 2012-10-05)
Convergence in total variation on Wiener chaos
arXiv:1107.2543 [math.PR] (Published 2011-07-13, updated 2015-08-31)
Convergence in law for the branching random walk seen from its tip

Links

Toolbox