Random Attractors for the Stochastic Navier-Stokes Equations on the 2D Unit Sphere

被引：19

作者：

Brzezniak, Z. ^{[1
]}

Goldys, B. ^{[2
]}

Le Gia, Q. T. ^{[3
]}

机构：

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

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[3] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2018年 / 20卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Random attractors; Energy method; Asymptotically compact random dynamical systems; Stochastic Navier-Stokes; Unit sphere; REGULARITY; BEHAVIOR; MOTION;

D O I：

10.1007/s00021-017-0351-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of random attractors for the Navier-Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce the existence of an invariant measure.

引用

页码：227 / 253

页数：27

共 46 条

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Brzezniak Z., 1996, Stoch. Stoch. Rep., V56, P1

[12] Asymptotic compactness and absorbing sets for 2D stochastic Navier- Stokes equations on some unbounded domains [J].