Year: 2023
Author: Xiuwei Yin, Guangjun Shen, Jiang-Lun Wu
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 1 : pp. 1–20
Abstract
In this paper, we aim to establish a strong averaging principle for stochastic tidal dynamics equations. The averaging principle is an effective method for studying the qualitative analysis of nonlinear dynamical systems. Under suitable assumptions, utilizing Khasminkii’s time discretization approach, we derive a strong averaging principle showing that the solution of stochastic tidal dynamics equations can be approximated by solutions of the system of averaged stochastic equations in the sense of convergence in mean square.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2022-0019
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 1 : pp. 1–20
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Stochastic tidal dynamics equations averaging principle strong convergence.