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 - <p style="text-align: justify;">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.</p>