On the exponential behaviour of stochastic evolution equations for non-Newtonian fluids

被引:6
|
作者
Razafimandimby, Paul Andre [1 ]
Sango, Mamadou [1 ]
机构
[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
基金
新加坡国家研究基金会;
关键词
stochastic evolution equations; weak solution; asymptotic behaviour; non-Newtonian fluids; bipolar fluids; stabilization; NAVIER-STOKES EQUATIONS; MULTIPOLAR VISCOUS FLUIDS; MEASURE-VALUED SOLUTIONS; ASYMPTOTIC-BEHAVIOR; TURBULENT FLOWS; EXISTENCE; MODEL;
D O I
10.1080/00036811.2011.598861
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the exponential long-time behaviour of the stochastic evolution equations describing the motion of a non-Newtonian fluids excited by multiplicative noise. Some results on the exponential convergence in mean square and with probability one of the weak probabilistic solution to the stationary solutions are given. We also prove an interesting result related to the stabilization of these stochastic evolution equations.
引用
收藏
页码:2217 / 2233
页数:17
相关论文
共 50 条
  • [1] Trajectory attractor for a non-autonomous magnetohydrodynamic equation of non-Newtonian fluids
    Razafimandimby, Paul Andre
    DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2012, 9 (03) : 177 - 203
  • [2] The convergence of non-Newtonian fluids to Navier-Stokes equations
    Guo, Boling
    Guo, Chunxiao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (02) : 468 - 478
  • [3] On the small time asymptotics of stochastic non-Newtonian fluids
    Liu, Hui
    Sun, Chengfeng
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (04) : 1139 - 1152
  • [4] 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
  • [5] Random attractors of stochastic non-newtonian fluids
    Guo, Chun-xiao
    Guo, Bo-ling
    Han, Yong-qian
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (01): : 165 - 180
  • [6] Random Attractors of Stochastic Non-Newtonian Fluids
    Chun-xiao GUO1
    Acta Mathematicae Applicatae Sinica, 2012, (01) : 165 - 180
  • [7] EXPONENTIAL STABILITY OF AN INCOMPRESSIBLE NON-NEWTONIAN FLUID WITH DELAY
    Liu, Linfang
    Caraballo, Tomas
    Fu, Xianlong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (10): : 4285 - 4303
  • [8] Shallow Water equations for Non-Newtonian fluids
    Fernandez-Nieto, Enrique D.
    Noble, Pascal
    Vila, Jean-Paul
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2010, 165 (13-14) : 712 - 732
  • [9] Large-time behaviour of solutions to a class of non-Newtonian compressible fluids
    Guo, Shanshan
    Tan, Zhong
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2017, 24 (03):
  • [10] The energy equality for weak solutions to the equations of non-Newtonian fluids
    Yang, Jiaqi
    APPLIED MATHEMATICS LETTERS, 2019, 88 : 216 - 221