Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (6): 1532-1544.

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

Jianhua Huang1(),Zaiyun Zhang2(),Yong Chen3,*   

  1. 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)

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

CLC Number: 

  • O175
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