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| Equivalent and Nonequivalent Barotropic Modes for Rotating Stratified Flows |
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Citation： |
Man JIA,Senyue LOU,Fei HUANG.Equivalent and Nonequivalent Barotropic Modes for Rotating Stratified Flows[J].Chinese Annals of Mathematics B,2012,33(2):247~258 |
| Page view： 2136
Net amount： 1517 |
Authors： |
Man JIA; Senyue LOU; Fei HUANG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11175092, 10735030), the National Basic Research Program of China (973 Program) (No. 007CB814800), the Natural Science Foundation of Shanghai (No. 09ZR1413600) and the K. C. Wong Magna Fund of Ningbo University. |
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| Abstract： |
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. |
Keywords： |
Rotating stratified flows, Equivalent barotropic modes, Nonequivalent barotropic modes |
Classification： |
35Q35 |
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