Long time stability of nonlocal stochastic Kuramoto–Sivashinsky equations with jump noises

Guanying Wang, Xingchun Wang () and Guangli Xu

Statistics & Probability Letters, 2017, vol. 127, issue C, 23-32

Abstract: In this paper, we consider a class of nonlocal stochastic Kuramoto–Sivashinsky equations driven by compensated Poisson random measures. Under appropriate conditions, we prove almost sure exponential stability and second moment stability of the solution.

Keywords: Nonlocal Kuramoto–Sivashinsky equations; Poisson random measures; Exponential stability; Second moment stability (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:127:y:2017:i:c:p:23-32

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DOI: 10.1016/j.spl.2017.03.024

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