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RESEARCH ANNOUNCEMENTS——Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing

RESEARCH ANNOUNCEMENTS——Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing
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摘要 We consider the two-dimensional stochastic quasi-geostrophic equation ■=1/(R_e)△~2■-r/2△■+f(x,y,t)(1.1) on a regular bounded open domain D ■,where ■ is the stream function,F Froude Number (F≈O(1)),R_e Reynolds number(R_e■10~2),β_0 a positive constant(β_0≈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 We consider the two-dimensional stochastic quasi-geostrophic equation[12p.234,13]
机构地区 Graduate School 不详
出处 《数学进展》 CSCD 北大核心 2007年第1期119-121,共3页 Advances in Mathematics(China)
基金 Foundation item:The work was supported in part by the NSFC(No.90511009).
分类号 O [理学]
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