LARGE DEVIATIONS FOR STOCHASTIC 3D LERAY-α MODEL WITH FRACTIONAL DISSIPATION

被引：8
|
作者：
Li, Shihu [1 ]
Liu, Wei [2 ]
Xie, Yingchao [2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2019年 / 18卷 / 05期
关键词：
Large deviation principle; Leray-alpha model; fractional Laplacian; Navier-Stokes equation; weak convergence approach; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; HYDRODYNAMICAL SYSTEMS; MULTIPLICATIVE NOISE; DRIVEN; EXISTENCE; EULER; PRINCIPLES;
D O I：
10.3934/cpaa.2019113
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish the Freidlin-Wentzell's large deviation principle for stochastic 3D Leray-alpha model with general fractional dissipation and small multiplicative noise. This model is the stochastic 3D Navier-Stokes equations regularized through a smoothing kernel of order theta(1) in the nonlinear term and a theta(2)-fractional Laplacian. The main result generalizes the corresponding LDP result of the classical stochastic 3D Leray-alpha model (theta(1) = 1, theta(2) = 1), and it is also applicable to the stochastic 3D hyperviscous Navier-Stokes equations (theta(1) = 0, theta(2) >= 5/4) and stochastic 3D critical Leray-alpha model (theta(1) = 1/4, theta(2) = 1).
引用
收藏
页码：2491 / 2510
页数：20
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