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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 4
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Articles

Moderate deviations for stochastic tidal dynamics equations with multiplicative Gaussian noise

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Pages 1456-1490 | Received 20 Aug 2019, Accepted 05 Jun 2020, Published online: 02 Jul 2020
 

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.

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

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).

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