| RESEARCH ANNOUNCEMENTS Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing |
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| 作者姓名： | 黄代文 |
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| 作者单位： | [1]Graduate School, China Academy of Engineering Physics, Beijing, 100088, P. R. China [2]不详, China Academy of Engineering Physics, Beijing, 100088, P. R. China |
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| 摘 要： | We consider the two-dimensional stochastic quasi-geostrophic equation12p.234,13]((Э)/(Э)t+(Э)ψ/(Э)x(Э)/(Э)y-(Э)ψ/(Э)y(Э)/(Э)x)(△ψ-Fψ+β0y)=1/Re△2ψ-r/2△ψ+f(x,y,t) (1.1)on a regular bounded open domain D (С) R2,where ψis the stream function,F Froude Number (F≈O(1)),Re Reynolds number(Re≥102),β0a Positive constant(β0≈O(10-1)),r the Ekman dissipation constant(r≈O(1)),the external forcing term f(x,y,t)=-dW/dt(the definition of W will be given later)a Gaussian random field,white noise in time,subject to the restrictions imposed below.
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| 收稿时间： | 2006-10-17 |
Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing |
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| HUANG Daiwen.RESEARCH ANNOUNCEMENTS Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing[J].Advances in Mathematics,2007,36(1):119-121. |
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| Authors: | HUANG Daiwen |
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| Abstract: | We consider the two-dimensional stochastic quasi-geostrophic equation12p.234,13] |
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