On Averaging and Mixing for Stochastic PDEs

Guan Huang; Sergei Kuksin

doi:10.1007/s10884-022-10202-w

On Averaging and Mixing for Stochastic PDEs

Guan Huang^*
, Sergei Kuksin

^*Corresponding author for this work

Tsinghua University
CNRS
People's Friendship University of Russia

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2041-2056
Number of pages	16
Journal	Journal of Dynamics and Differential Equations
Volume	36
Issue number	3
DOIs	https://doi.org/10.1007/s10884-022-10202-w
Publication status	Published - Sept 2024
Externally published	Yes

Keywords

CGL equation
Krylov–Bogolyubov averaging
Mixing
NLW equation
Stochastic perturbations

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10.1007/s10884-022-10202-w

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title = "On Averaging and Mixing for Stochastic PDEs",

abstract = "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.",

keywords = "CGL equation, Krylov–Bogolyubov averaging, Mixing, NLW equation, Stochastic perturbations",

author = "Guan Huang and Sergei Kuksin",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.",

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AU - Kuksin, Sergei

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KW - CGL equation

KW - Krylov–Bogolyubov averaging

KW - Mixing

KW - NLW equation

KW - Stochastic perturbations

UR - https://www.scopus.com/pages/publications/85136578784

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DO - 10.1007/s10884-022-10202-w

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ER -

On Averaging and Mixing for Stochastic PDEs

Abstract

Keywords

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