Averaging Principles for Stochastic 2D Navier-Stokes Equations

被引：6
|
作者：
Gao, Peng [1 ,2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China
来源：
JOURNAL OF STATISTICAL PHYSICS | 2022年 / 186卷 / 02期
关键词：
Stochastic 2D Navier-Stokes equations; Averaging principle; DIFFERENTIAL-EQUATIONS; LARGE DEVIATIONS; LIMIT-THEOREM; ASSIMILATION; EXISTENCE; SYSTEM;
D O I：
10.1007/s10955-022-02876-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we will establish two kinds of averaging principles for stochastic 2D Navier-Stokes equations, i.e. Bogoliubov averaging principle and Stratonovich-Khasminskii averaging principle. These averaging principles are powerful tools for studying asymptotic behavior of stochastic 2D Navier-Stokes equations.
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页数：29
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