On averaging and mixing for stochastic pdes

Guan HUANG YMSC,Tsinghua University Sergei Kuksin Universite PARIS VII

Dynamical Systems mathscidoc:2205.11005

2022.4
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.
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@inproceedings{guan2022on,
  title={ON AVERAGING AND MIXING FOR STOCHASTIC PDES},
  author={Guan HUANG, and Sergei Kuksin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517134117857374206},
  year={2022},
}
Guan HUANG, and Sergei Kuksin. ON AVERAGING AND MIXING FOR STOCHASTIC PDES. 2022. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517134117857374206.
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