The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-11-12 DOI:10.1142/s0219493723500077

Dong Su, Hui Liu

引用次数: 0

Abstract

This paper establishes the exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise via Burkholder–Davis–Gundy inequality and Itô formula. In particular, we prove that under some conditions on the forcing terms, the weak solution converges exponentially in the mean square and almost surely exponentially to the stationary solution.

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Lévy噪声驱动的随机三维原始方程的指数行为及其稳定性

本文通过Burkholder–Davis–Gundy不等式和Itô公式，建立了Lévy噪声驱动的随机三维原始方程的指数行为和稳定性。特别地，我们证明了在强迫项的某些条件下，弱解在均方上指数收敛，并且几乎可以肯定地指数收敛于平稳解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.