Volume 2, Issue 1
Averaging Principle for Stochastic Tidal Dynamics Equations

Xiuwei Yin, Guangjun Shen & Jiang-Lun Wu

Commun. Math. Anal. Appl., 2 (2023), pp. 1-20.

Published online: 2023-03

Export citation
  • 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.

  • AMS Subject Headings

60H15, 35Q35, 60H30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CMAA-2-1, author = {Yin , XiuweiShen , Guangjun and Wu , Jiang-Lun}, title = {Averaging Principle for Stochastic Tidal Dynamics Equations}, journal = {Communications in Mathematical Analysis and Applications}, year = {2023}, volume = {2}, number = {1}, pages = {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.

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2022-0019}, url = {http://global-sci.org/intro/article_detail/cmaa/21452.html} }
TY - JOUR T1 - Averaging Principle for Stochastic Tidal Dynamics Equations AU - Yin , Xiuwei AU - Shen , Guangjun AU - Wu , Jiang-Lun JO - Communications in Mathematical Analysis and Applications VL - 1 SP - 1 EP - 20 PY - 2023 DA - 2023/03 SN - 2 DO - http://doi.org/10.4208/cmaa.2022-0019 UR - https://global-sci.org/intro/article_detail/cmaa/21452.html KW - Stochastic tidal dynamics equations, averaging principle, strong convergence. AB -

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.

Xiuwei Yin, Guangjun Shen & Jiang-Lun Wu. (2023). Averaging Principle for Stochastic Tidal Dynamics Equations. Communications in Mathematical Analysis and Applications. 2 (1). 1-20. doi:10.4208/cmaa.2022-0019
Copy to clipboard
The citation has been copied to your clipboard