Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere

被引：6

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 S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 01期

关键词：

Stochastic Navier-Stokes equations; Unit sphere; Random dynamical system; SEMIGROUPS; REGULARITY; MANIFOLDS; VECTOR; MOTION; SPACE;

D O I：

10.1016/j.jmaa.2015.01.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we first prove the existence and uniqueness of the solution to the stochastic Navier-Stokes equations on the rotating 2-dimensional unit sphere. Then we show the existence of an asymptotically compact random dynamical system associated with the equations. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：505 / 545

页数：41

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