Long time behavior for nonlocal stochastic Kuramoto–Sivashinsky equations

Guanying Wang, Xingchun Wang () and Yongjin Wang

Statistics & Probability Letters, 2014, vol. 87, issue C, 54-60

Abstract: In this paper, we consider a class of nonlocal stochastic Kuramoto–Sivashinsky equations driven by additive noises. Under some appropriate conditions, we investigate long time behavior, i.e., stability and growth bounds of the solutions to the equation. Finally, several examples are given to illustrate our results.

Keywords: Nonlocal stochastic Kuramoto–Sivashinsky equations; Gaussian processes; Exponentially stable; Second moment stability (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2013.12.022

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