Lévy噪声驱动的三维随机LANS-α模型的中偏差原理

数学物理学报 ›› 2019, Vol. 39 ›› Issue (6): 1532-1544.

Lévy噪声驱动的三维随机LANS-α模型的中偏差原理

黄建华¹(),张再云²(),陈涌^3,*

¹ 国防科技大学理学院长沙 410073
² 湖南理工学院数学学院湖南岳阳 414006
³ 浙江理工大学理学院杭州 310018

收稿日期:2018-02-19 出版日期:2019-12-26 发布日期:2019-12-28
通讯作者: 陈涌 E-mail:jhhuang32@nudt.edu.cn;zhangzaiyun1226@126.com
作者简介:黄建华, E-mail: jhhuang32@nudt.edu.cn|张再云, E-mail: zhangzaiyun1226@126.com
基金资助:
国家自然科学基金(11771449);国家自然科学基金(11401532);浙江省自然科学基金(LY18A010027);湖南省自然科学基金(2016JJ2061);浙江理工大学基本科研业务费专项资金(2019Q068)

The Moderate Deviation Principle for Stochastic 3D LANS-α Model Driven by Multiplicative Lévy Noise

Jianhua Huang¹(),Zaiyun Zhang²(),Yong Chen^3,*

¹ College of Science, National University of Defense Technology, Changsha 410073
² School of Mathematics, Hunan Institute of Science and Technology, Hunan Yueyang 414006
³ School of Science, Zhejiang Sci-Tech University, Hangzhou 310018

Received:2018-02-19 Online:2019-12-26 Published:2019-12-28
Contact: Yong Chen E-mail:jhhuang32@nudt.edu.cn;zhangzaiyun1226@126.com
Supported by:
the NSFC(11771449);the NSFC(11401532);the Zhejiang Provincial NSF(LY18A010027);the Hunan Provincial NSF(2016JJ2061);the Fundamental Research Funds of Zhejiang Sci-Tech University(2019Q068)

摘要/Abstract

摘要：

该文利用弱收敛方法建立了Lévy噪声驱动的三维随机LANS-α模型的中偏差原理.

关键词: 随机LANS-α模型, Lévy噪声, 弱收敛方法

Abstract:

In this paper, we construct the moderate deviation principle for stochastic 3D LANS-α model driven by multiplicative Lévy noise by the weak convergence method.

Key words: Moderate deviation principle, Stochastic Lagrangian averaged Navier-Stokes equations, Weak convergence method

中图分类号:

O175

黄建华,张再云,陈涌. Lévy噪声驱动的三维随机LANS-α模型的中偏差原理[J]. 数学物理学报, 2019, 39(6): 1532-1544.

Jianhua Huang,Zaiyun Zhang,Yong Chen. The Moderate Deviation Principle for Stochastic 3D LANS-α Model Driven by Multiplicative Lévy Noise[J]. Acta mathematica scientia,Series A, 2019, 39(6): 1532-1544.

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