Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus

被引：19

作者：

Brzezniak, Z. ^{[1
]}

Cerrai, S. ^{[2
]}

机构：

[1] Univ York, Dept Math, York Y010 5DD, N Yorkshire, England

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 273卷 / 06期

基金：

美国国家科学基金会;

关键词：

Stochastic Navier-Stokes; Large deviations; Invariant measures; Quasipotential; NOISE; ERGODICITY;

D O I：

10.1016/j.jfa.2017.05.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove here the validity of a large deviation principle for the family of invariant measures associated to a two dimensional Navier-Stokes equation on a torus, perturbed by a smooth additive noise. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1891 / 1930

页数：40

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