三维随机Leray-α模型解的渐近性质

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2022-05-31 DOI:10.1515/rose-2022-2077

N. Thanh, T. Tuan

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引用次数: 1

摘要

考虑具有齐次Dirichlet边界条件和无限维Wiener过程的三维随机Leray-α模型。我们首先研究了模型平稳解的均方稳定性和路径指数稳定性。然后，我们证明可以通过使用足够强度的乘性Itô噪声或支持足够大的线性内反馈控制来稳定不稳定的平稳解。

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Asymptotic behavior of solutions to the three-dimensional stochastic Leray-α model

Abstract We consider the three-dimensional stochastic Leray-α model with homogeneous Dirichlet boundary conditions and infinite-dimensional Wiener process. We first study the mean square and pathwise exponential stability of a stationary solution to the model. Then we show that one can stabilize an unstable stationary solution by using a multiplicative Itô noise of sufficient intensity or a linear internal feedback control with support large enough.

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来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量