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December 2008 Structural Stability and Bifurcation for 2-D Incompressible Flows with Symmetry
Chun-Hsiung Hsia, Jian-Guo Liu, Cheng Wang
Methods Appl. Anal. 15(4): 495-512 (December 2008).


This article studies the structure and its evolution of incompressible flows with the anti-symmetry using a combination of rigorous analysis and numerical simulations, with an application to an example of oceanic flow. In particular, necessary and sufficient conditions for 2D divergence-free vector fields with anti-symmetry are obtained, and a detailed numerical simulation for a simplified model of Marsigli oceanic flow is provided to explore and verify the structure and its transitions of the flow. It is expected that the study will lead to useful insights to the understanding of the flow dynamics from both the mathematical and physical points of view.


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Chun-Hsiung Hsia. Jian-Guo Liu. Cheng Wang . "Structural Stability and Bifurcation for 2-D Incompressible Flows with Symmetry." Methods Appl. Anal. 15 (4) 495 - 512, December 2008.


Published: December 2008
First available in Project Euclid: 2 October 2009

zbMATH: 1180.35410
MathSciNet: MR2550075

Primary: 35Q30 , 35Q35 , 65M06 , 76D05

Keywords: Divergence-free velocity vector , saddle connection , structural stability and bifurcation , symmetric stability

Rights: Copyright © 2008 International Press of Boston

Vol.15 • No. 4 • December 2008
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