Deviation principles of a stochastic leray-α system with fractional dissipation

被引：0
|
作者：
Wang, Yueyang
Chen, Guanggan [1 ]
Yang, Min
机构：
[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China
来源：
STOCHASTICS AND DYNAMICS | 2022年 / 22卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Stochastic Leray-alpha system; fractional Laplacian; central limit theorem; moderate deviation principle; weak convergence approach; MODERATE DEVIATIONS; EQUATIONS; DRIVEN; MODEL;
D O I：
10.1142/S0219493722400275
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 work is concerned with a stochastic Leray-alpha system with fractional dissipation driven by multiplicative noise. It establishes the central limit theorem of the stochastic system. Moreover, building a new auxiliary system and using the classical weak convergence approach, it derives the moderate deviation principle of the stochastic system.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] Stochastic 3D Leray-α model with fractional dissipation
    Li, Shihu
    Liu, Wei
    Xie, Yingchao
    [J]. SCIENCE CHINA-MATHEMATICS, 2023, 66 (11) : 2589 - 2614
  • [2] Stochastic 3D Leray-α model with fractional dissipation
    Shihu Li
    Wei Liu
    Yingchao Xie
    [J]. Science China Mathematics, 2023, 66 : 2589 - 2614
  • [3] Stochastic 3D Leray-α model with fractional dissipation
    Shihu Li
    Wei Liu
    Yingchao Xie
    [J]. Science China Mathematics, 2023, 66 (11) : 2589 - 2614
  • [4] LARGE DEVIATIONS FOR STOCHASTIC 3D LERAY-α MODEL WITH FRACTIONAL DISSIPATION
    Li, Shihu
    Liu, Wei
    Xie, Yingchao
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (05) : 2491 - 2510
  • [5] Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing
    Li, Shihu
    Liu, Wei
    Xie, Yingchao
    [J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2019, 22 (01)
  • [6] On a stochastic Leray-α model of Euler equations
    Barbato, David
    Bessaih, Hakima
    Ferrario, Benedetta
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2014, 124 (01) : 199 - 219
  • [7] Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation
    Li, Shihu
    Xie, Yingchao
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2020, 38 (02) : 248 - 276
  • [8] Exponential mixing for stochastic 3D fractional Leray-α model with degenerate multiplicative noise
    Li, Shihu
    Liu, Wei
    Xie, Yingchao
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 95 : 1 - 6
  • [9] Stochastic inviscid Leray-α model with transport noise: Convergence rates and CLT
    Luo, Dejun
    Tang, Bin
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 234
  • [10] Asymptotic behavior of solutions to the three-dimensional stochastic Leray-α model
    Nguyen Van Thanh
    Tran Quoc Tuan
    [J]. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2022, 30 (02) : 137 - 148
12345