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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作  者:黄代文 GUO Boling 

机构地区:[1]Graduate School, China Academy of Engineering Physics, Beijing, 100088, P. R. China [2]不详

出  处:《数学进展》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).

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 theWe consider the two-dimensional stochastic quasi-geostrophic equation[12p.234,13]

关 键 词:RESEARCH ANNOUNCEMENTS Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing 

分 类 号:O[理学]

 

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