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Averaging Principle for Stochastic Tidal Dynamics Equations
Xiuwei Yin,
Guangjun Shen null,
Jiang-lun Wu
Communications in Mathematical Analysis and Applications, Volume: 2, Issue: 1, Pages: 1 - 20
Swansea University Author: Jiang-lun Wu
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DOI (Published version): 10.4208/cmaa.2022-0019
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 ap...
| Published in: | Communications in Mathematical Analysis and Applications |
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| ISSN: | 2790-1920 2790-1939 |
| Published: |
Hong Kong
Global Science Press
2023
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa61374 |
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| 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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| Keywords: |
stochastic tidal dynamics equations; Averaging principle; Strong convergence |
| College: |
Faculty of Science and Engineering |
| Funders: |
the Natural Science Foundation of China and he Natural Science Foundation of Anhui Province: 11901005, 12071003; 2008085QA20. |
| Issue: |
1 |
| Start Page: |
1 |
| End Page: |
20 |