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

来源：

APPLICABLE ANALYSIS | 2012年 / 91卷 / 12期

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

页码：2217 / 2233

页数：17

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