On the Instabilities and Transitions of the Western Boundary Current  

作　　者：Daozhi Han Marco Hernandez Quan Wang 

机构地区：[1]Missouri University of Science and Technology,400 W.12th.St,Rolla,MO,65409,USA [2]Department of Mathematics,Indiana University,Bloomington,IN 47405,USA [3]Department of Mathematics,Sichuan University,Chengdu,China

出　　处：《Communications in Computational Physics》2019年第6期35-56,共22页计算物理通讯（英文）

基　　金：supported by a seed fund of the Material Research Center at Missouri University of Science and Technology;Marco Hernandez was supported in part by the National Science Foundation(NSF)grant DMS-1515024,and by the Office of Naval Research(ONR)grant N00014-15-1-2662;Quan Wang was supported by the NSFC(No.11771306).

摘　　要：We study the stability and dynamic transitions of the western boundary currents in a rectangular closed basin.By reducing the infinite dynamical system to a finite dimensional one via center manifold reduction,we derive a non-dimensional transition number that determines the types of dynamical transition.We show by careful numerical evaluation of the transition number that both continuous transitions(supercritical Hopf bifurcation)and catastrophic transitions(subcritical Hopf bifurcation)can happen at the critical Reynolds number,depending on the aspect ratio and stratification.The regions separating the continuous and catastrophic transitions are delineated on the parameter plane.

关 键 词：Western boundary current dynamic transition INSTABILITY Hopf bifurcation spectral method 

分 类 号：O17[理学—数学]