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.
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页码：505 / 545
页数：41
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