Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations with vanishing noise correlation

被引：9

作者：

Cerrai, S. ^{[1
]}

Paskal, N. ^{[1
]}

机构：

[1] Univ Maryland, College Pk, MD 20742 USA

来源：

STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS | 2022年 / 10卷 / 04期

基金：

美国国家科学基金会;

关键词：

Stochastic Navier-Stokes equations; Large deviations; Invariant measures; Quasi-potential; DRIVEN; TIME;

D O I：

10.1007/s40072-021-00219-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the two-dimensional incompressible Navier-Stokes equation on the torus, driven by Gaussian noise that is white in time and colored in space. We consider the case where the magnitude of the random forcing root epsilon and its correlation scale delta(epsilon)are both small. We prove a large deviations principle for the solutions, as well as for the family of invariant measures, as epsilon and delta(epsilon) are simultaneously sent to 0, under a suitable scaling.

引用

页码：1651 / 1681

页数：31

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