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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
期刊	Journal of Dynamics and Differential Equations
DOI	https://doi.org/10.1007/s10884-022-10202-w
出版状态	已接受/待刊 - 2022
已对外发布	是

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10.1007/s10884-022-10202-w

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Huang, G., & Kuksin, S. (已接受/印刷中). On Averaging and Mixing for Stochastic PDEs. Journal of Dynamics and Differential Equations. https://doi.org/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} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

doi = "10.1007/s10884-022-10202-w",

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AU - Huang, Guan

AU - Kuksin, Sergei

PY - 2022

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N2 - 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.

AB - 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.

KW - CGL equation

KW - Krylov–Bogolyubov averaging

KW - Mixing

KW - NLW equation

KW - Stochastic perturbations

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U2 - 10.1007/s10884-022-10202-w

DO - 10.1007/s10884-022-10202-w

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SN - 1040-7294

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

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On Averaging and Mixing for Stochastic PDEs

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