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
收藏
页码：227 / 253
页数：27
相关论文
共 46 条
  • [1] Agrachev A, 2008, INT MAT SER, V6, P1
  • [2] Arnold L., 1998, Random Dynamical Systems, V1
  • [3] Aubin T., 1998, Springer Monographs in Mathematics
  • [4] AVEZ A, 1978, J MECANIQUE, V17, P107
  • [5] Brzeniak Z., 1997, STOCHASTICS STOCHAST, V61, P245
  • [6] Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere
    Brzezniak, Z.
    Goldys, B.
    Le Gia, Q. T.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 505 - 545
  • [7] Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
    Brzezniak, Z.
    Caraballo, T.
    Langa, J. A.
    Li, Y.
    Lukaszewicz, G.
    Real, J.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (11) : 3897 - 3919
  • [8] Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise
    Brzezniak, Z
    van Neerven, J
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2003, 43 (02): : 261 - 303
  • [9] PATHWISE GLOBAL ATTRACTORS FOR STATIONARY RANDOM DYNAMIC-SYSTEMS
    BRZEZNIAK, Z
    CAPINSKI, M
    FLANDOLI, F
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 1993, 95 (01) : 87 - 102
  • [10] Brzezniak Z, 2001, ANN PROBAB, V29, P1796
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