Remarks on 3D stochastic Navier-Stokes equations

被引：0
|
作者：
Flandoli, Ranco [1 ]
机构：
[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy
来源：
SEMINAR ON STOCHASTIC ANALYSIS, RANDOM FIELDS AND APPLICATIONS V | 2008年 / 59卷
关键词：
stochastic Navier-Stokes equations; statistical fluid mechanics; invariant measures; Kolmogorov scaling law;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Stochastic Navier-Stokes equations could be a suitable model to address questions of statistical fluid mechanics. For stationary measures arising from the Galerkin scheme, energy balance relations are reviewed, a notion of scaling law inspired by Kolmogorov theory is introduced, and a few results and remarks are given in dimensions 2 and 3.
引用
收藏
页码：123 / 134
页数：12
相关论文
共 50 条
  • [1] Ergodicity for the 3D stochastic Navier-Stokes equations
    Da Prato, G
    Debussche, A
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2003, 82 (08): : 877 - 947
  • [2] Remarks on regularity criteria for the 3d Navier-Stokes equations
    Liu, Qiao
    Pan, Meiling
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (03): : 868 - 875
  • [3] REMARKS ON REGULARITY CRITERIA FOR THE 3D NAVIER-STOKES EQUATIONS
    Wei, Ruiying
    Li, Yin
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [4] Nonuniqueness in law of stochastic 3D Navier-Stokes equations
    Hofmanova, Martina
    Zhu, Rongchan
    Zhu, Xiangchan
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2024, 26 (01) : 163 - 260
  • [5] Exponential mixing for the 3D stochastic Navier-Stokes equations
    Odasso, Cyril
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 270 (01) : 109 - 139
  • [6] Markov selections for the 3D stochastic Navier-Stokes equations
    Flandoli, Franco
    Romito, Marco
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 2008, 140 (3-4) : 407 - 458
  • [7] APPROXIMATIONS OF THE STOCHASTIC 3D NAVIER-STOKES EQUATIONS WITH DAMPING
    Liu, Hui
    Sun, Chengfeng
    Xin, Jie
    [J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021, 19 (08) : 2249 - 2273
  • [8] APPROXIMATIONS OF STOCHASTIC 3D TAMED NAVIER-STOKES EQUATIONS
    Peng, Xuhui
    Zhang, Rangrang
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (12) : 5337 - 5365
  • [9] Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations
    Roeckner, Michael
    Zhang, Tusheng
    Zhang, Xicheng
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2010, 61 (02): : 267 - 285
  • [10] ERGODICITY AND DYNAMICS FOR THE STOCHASTIC 3D NAVIER-STOKES EQUATIONS WITH DAMPING
    Liu, Hui
    Gao, Hongjun
    [J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2018, 16 (01) : 97 - 122
12345