随机时滞2D-Navier-Stokes方程的指数稳定性  

Exponential stability for stochastic 2D-Navier-Stokes equations with time delay

作　　者：韦明俊[1] 张挺[1] 

机构地区：[1]浙江大学数学系,浙江杭州310027

出　　处：《高校应用数学学报（A辑）》2009年第4期493-500,共8页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10871175;10931007;10901137);浙江省教育厅科研项目(Y200803203)

摘　　要：由于流体受到某些遗传和不确定信息外力的影响,考虑了含时变时滞随机外力的2D-Navier-Stokes方程.借助随机分析中的Ito公式和Burkholder-Davis-Gundy不等式,证明了大粘性系数情形方程整体弱解的均方指数稳定和几乎必然指数稳定.Due to some genetic and random information, the stochastic 2D-Navier-Stokes equations with time-delayed stochastic external force are considered. Under the assumption of big viscosity coefficient, using the Itǒ formula and Burkholder-Davis-Cundy inequality in stochastic analysis, the exponential mean square stability and almost surely exponential stability of the global weak solutions are obtained.

关 键 词：NAVIER-STOKES方程 WIENER过程 ITO公式 指数稳定 

分 类 号：O175.29[理学—数学]