高校应用数学学报A辑
高校應用數學學報A輯
고교응용수학학보A집
APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2009年
4期
493-500
,共8页
Navier-Stokes方程%Wiener过程%It(o)公式%指数稳定
Navier-Stokes方程%Wiener過程%It(o)公式%指數穩定
Navier-Stokes방정%Wiener과정%It(o)공식%지수은정
Navier-Stokes equation%Wiener process%Ito formula%exponential stability
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.
由于流體受到某些遺傳和不確定信息外力的影響,攷慮瞭含時變時滯隨機外力的2D-Navier-Stokes方程.藉助隨機分析中的It6公式和Burkholder-Davis-Gundy不等式,證明瞭大粘性繫數情形方程整體弱解的均方指數穩定和幾乎必然指數穩定.
유우류체수도모사유전화불학정신식외력적영향,고필료함시변시체수궤외력적2D-Navier-Stokes방정.차조수궤분석중적It6공식화Burkholder-Davis-Gundy불등식,증명료대점성계수정형방정정체약해적균방지수은정화궤호필연지수은정.
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.
