Averaging principle for stochastic 3D generalized Navier–Stokes equations-Reference-Cited by-同舟云学术

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Averaging principle for stochastic 3D generalized Navier–Stokes equations

Published:2024-02 Issue:01 Volume:24 Page:
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Liu Hui¹^ORCID,Lin Lin²^ORCID,Shi Yangyang³^ORCID

Affiliation:

1. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, P. R. China

2. School of Arts and Sciences, Shanghai Dianji University, Shanghai 201306, P. R. China

3. School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, P. R. China

Abstract

In this paper, the multiscale stochastic 3D generalized Navier–Stokes equations are studied. By using Khasminkii’s time discretization approach and the technique of stopping time, the strong averaging principle for stochastic 3D generalized Navier–Stokes equations is proved in the space [Formula: see text].

Funder

National Natural Science Foundation of China

University Natural Science Research Project of Anhui Province

Natural Science Foundation of Shandong Province

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493724500059

Reference40 articles.

1. Fourier Analysis and Nonlinear Partial Differential Equations

2. Two-time-scale stochastic partial differential equations driven by $\alpha $-stable noises: Averaging principles

3. Strong and weak orders in averaging for SPDEs

4. Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains

5. Invariant measure for the stochastic Navier–Stokes equations in unbounded 2D domains

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