Random attractors of stochastic non-newtonian fluids

被引：5
|
作者：
Guo, Chun-xiao [1 ]
Guo, Bo-ling [2 ]
Han, Yong-qian [2 ]
机构：
[1] China Univ Min & Technol Beijing, Dept Math, Beijing 100083, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 01期
关键词：
random attractors; non-Newtonian fluids; additive noise; Ornstein-Uhlenbeck process; NONLINEAR SCHRODINGER-EQUATION; SYSTEM;
D O I：
10.1007/s10255-012-0132-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper investigates the asymptotic behavior of solutions for stochastic non-Newtonian fluids in a two-dimensional domain. Firstly, we prove the existence of random attractors I > (H) (omega) in H; Secondly, we prove the existence of random attractors I > (V) (omega) in V. Then we verify regularity of the random attractors by showing that I > (H) (omega) = I > (V) (omega), which implies the smoothing effect of the fluids in the sense that solution becomes eventually more regular than the initial data.
引用
收藏
页码：165 / 180
页数：16
相关论文
共 50 条
  • [1] Random Attractors of Stochastic Non-Newtonian Fluids
    Chun-xiao GUO1
    Acta Mathematicae Applicatae Sinica, 2012, (01) : 165 - 180
  • [2] Random attractors of stochastic non-newtonian fluids
    Chun-xiao Guo
    Bo-ling Guo
    Yong-qian Han
    Acta Mathematicae Applicatae Sinica, English Series, 2012, 28 : 165 - 180
  • [3] Random Attractors of Stochastic Non-Newtonian Fluids
    Chunxiao GUO Boling GUO Yongqian HAN Department of Mathematics China University of Mining and Technology Beijing Beijing China Institute of Applied Physics and Computational Mathematics Beijing China
    Acta Mathematicae Applicatae Sinica(English Series), 2012, 28 (01) : 165 - 180
  • [4] RANDOM ATTRACTORS OF STOCHASTIC NON-NEWTONIAN FLUIDS ON UNBOUNDED DOMAIN
    Guo, Chunxiao
    Guo, Boling
    Guo, Yanfeng
    STOCHASTICS AND DYNAMICS, 2014, 14 (01)
  • [5] Remark on Random Attractors of Stochastic Non-Newtonian Fluid
    Guo Boling
    Guo Chunxiao
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 23 (01): : 16 - 32
  • [6] H2-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise
    Chun-xiao Guo
    Bo-ling Guo
    Hui Yang
    Applied Mathematics and Mechanics, 2014, 35 : 105 - 116
  • [7] H~2-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise
    郭春晓
    郭柏灵
    杨慧
    Applied Mathematics and Mechanics(English Edition), 2014, 35 (01) : 105 - 116
  • [8] H1-RANDOM ATTRACTORS OF STOCHASTIC MONOPOLAR NON-NEWTONIAN FLUIDS WITH MULTIPLICATIVE NOISE
    Guo, Chunxiao
    Guo, Boling
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2014, 12 (08) : 1565 - 1578
  • [9] H2-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise
    Guo, Chun-xiao
    Guo, Bo-ling
    Yang, Hui
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2014, 35 (01) : 105 - 116
  • [10] A REMARK ON THE ATTRACTORS OF NON-NEWTONIAN FLUIDS
    郭柏灵
    林国广
    Acta Mathematica Scientia, 2003, (03) : 316 - 320
12345