{"title":"Exponential Inequalities for Exit Times for Stochastic Navier-Stokes Equations and a Class of Evolutions","authors":"Po-Han Hsu, P. Sundar","doi":"10.31390/COSA.12.3.07","DOIUrl":null,"url":null,"abstract":"Exponential estimates for exit from a ball of radius r by time T for solutions of the two-dimensional stochastic Navier-Stokes equations are first derived, and then studied in the context of Freidlin-Wentzell type large deviations principle. The existence of a similar estimate is discussed for a suitable class of stochastic evolution equations with multiplicative noise.","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Stochastic Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31390/COSA.12.3.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 3
Abstract
Exponential estimates for exit from a ball of radius r by time T for solutions of the two-dimensional stochastic Navier-Stokes equations are first derived, and then studied in the context of Freidlin-Wentzell type large deviations principle. The existence of a similar estimate is discussed for a suitable class of stochastic evolution equations with multiplicative noise.
期刊介绍：
The journal Communications on Stochastic Analysis (COSA) is published in four issues annually (March, June, September, December). It aims to present original research papers of high quality in stochastic analysis (both theory and applications) and emphasizes the global development of the scientific community. The journal welcomes articles of interdisciplinary nature. Expository articles of current interest will occasionally be published. COSAis indexed in Mathematical Reviews (MathSciNet), Zentralblatt für Mathematik, and SCOPUS
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