Exponential inequalities for exit times for two dimensional stochastic tidal dynamics equations. Issue 2 (4th March 2022)

• Record Type: Journal Article
• Authors: Mohan, Manil T.
• Is Part Of: Stochastic analysis and applications. Volume 40:Issue 2(2022)
• Page Start: 268
• Page End: 303
• Publication Date: 2022-03-04
• Subjects: Tidal dynamics system -- exponential estimates -- contraction principle -- large deviation principle; 35Q35 -- 60H15 -- 60G15; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2021.1905532
• Languages: English
• ISSNs: 0736-2994

Abstract

Abstract: In this work, we consider two dimensional stochastic tidal dynamics equations in bounded domains. We establish the exponential estimates on certain exit times associated with the solution trajectory of the tidal dynamics system. Using contraction principle, we study these exponential estimates of exit times in the context of a Wentzell-Freidlin type large deviations principle.