| 随机时滞2D-Navier-Stokes方程的指数稳定性 |
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| 引用本文： | 韦明俊,张挺. 随机时滞2D-Navier-Stokes方程的指数稳定性[J]. 高校应用数学学报(A辑), 2009, 24(4) |
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| 作者姓名： | 韦明俊 张挺 |
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| 作者单位： | 浙江大学数学系,浙江杭州,310027;浙江大学数学系,浙江杭州,310027 |
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| 基金项目： | 国家自然科学基金，浙江省教育厅科研项目 |
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| 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It6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.
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| 关 键 词： | Navier-Stokes方程 Wiener过程 It(o)公式 指数稳定 |
Exponential stability for stochastic 2D-Navier-Stokes equations with time delay |
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| WEI Ming-jun,ZHANG Ting. Exponential stability for stochastic 2D-Navier-Stokes equations with time delay[J]. Applied Mathematics A Journal of Chinese Universities, 2009, 24(4) |
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| Authors: | WEI Ming-jun ZHANG Ting |
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| Abstract: | 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 Ito formula and Burkholder-Davis-Gundy inequality in stochastic analysis, the exponential mean square stability and almost surely exponential stability of the global weak solutions are obtained. |
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| Keywords: | Navier-Stokes equation Wiener process Ito formula exponential stability |
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