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.
Publié le : 2008-12-15
Classification:
Divergence-free velocity vector,
structural stability and bifurcation,
symmetric stability,
saddle connection,
35Q30,
35Q35,
65M06,
76D05
@article{1254492831,
author = {Hsia, Chun-Hsiung and Liu, Jian-Guo and Wang , Cheng},
title = {Structural Stability and Bifurcation for 2-D Incompressible Flows with Symmetry},
journal = {Methods Appl. Anal.},
volume = {15},
number = {1},
year = {2008},
pages = { 495-512},
language = {en},
url = {http://dml.mathdoc.fr/item/1254492831}
}
Hsia, Chun-Hsiung; Liu, Jian-Guo; Wang , Cheng. Structural Stability and Bifurcation for 2-D Incompressible Flows with Symmetry. Methods Appl. Anal., Tome 15 (2008) no. 1, pp. 495-512. http://gdmltest.u-ga.fr/item/1254492831/