Equivalent and Nonequivalent Barotropic Modes for Rotating Stratified Flows  

作　　者：Man JIA Senyue LOU Fei HUANG 

机构地区：[1]Faculty of Science,Ningbo University,Ningbo 315211,Zhejiang,China [2]Department of Physics,Shanghai Jiao Tong University,Shanghai 200240,China [3]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [4]Physical Oceanography Laboratory,Ocean University of China,Qingdao 266003,Shandong,China

出　　处：《Chinese Annals of Mathematics,Series B》2012年第2期247-258,共12页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.11175092,10735030);the National Basic Research Program of China (973 Program) (No.2007CB814800);the Natural Science Foundation of Shanghai (No.09ZR1413600);the K.C.Wong Magna Fund of Ningbo University

摘　　要：All the possible equivalent barotropic (EB) laminar solutions are firstly explored,and all the possible non-EB elliptic circulations and hyperbolic laminar modes of rotating stratified fluids are discovered in this paper.The EB circulations (including the vortex streets and hurricane like vortices) possess rich structures,because either the arbitrary solutions of arbitrary nonlinear Poisson equations can be used or an arbitrary two-dimensional stream function is revealed which may be broadly applied in atmospheric and oceanic dynamics,plasma physics,astrophysics and so on.The discovery of the non-EB modes disproves a known conjecture.

关 键 词：Rotating stratified flows Equivalent barotropic modes Nonequivalentbarotropic modes 

分 类 号：O124[理学—数学] P444[理学—基础数学]