Moderate deviations for stochastic tidal dynamics equations with multiplicative Gaussian noise

Abstract

In this article, we consider the stochastic tidal dynamics equations perturbed by multiplicative Gaussian noise and discuss some asymptotic behaviors. A central limit theorem and a moderate deviation principle are derived for such systems. The results are proved using a variational method (based on weak convergence approach) developed by Budhiraja and Dupuis.

KEYWORDS:

• Stochastic tidal dynamics equations
• central limit theorem
• moderate deviation principle
• weak convergence method

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 60H15
• 60F05
• 60F10
• 35Q35
• 60J65

Acknowledgments

M. T. Mohan would like to thank the Department of Science and Technology (DST), Govt of India for Innovation in Science Pursuit for Inspired Research (INSPIRE) Faculty Award (IFA17-MA110).

Disclosure statement

No potential conflict of interest was reported by the author(s).