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

被引：0

作者：

Su, Dong ^{[1
]}

Liu, Hui ^{[2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2023年 / 23卷 / 01期

基金：

中国博士后科学基金;

关键词：

Stochastic three-dimensional primitive equations; exponential stability; Levy noise; LARGE-SCALE OCEAN; WELL-POSEDNESS; ATMOSPHERE; SPACE;

D O I：

10.1142/S0219493723500077

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper establishes the exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Levy noise via Burkholder-Davis-Gundy inequality and Ito 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.

引用

页数：20

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