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| Dynamic Transition and Pattern Formation in Taylor Problem |
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Citation： |
Tian MA,Shouhong WANG.Dynamic Transition and Pattern Formation in Taylor Problem[J].Chinese Annals of Mathematics B,2010,31(6):953~974 |
| Page view： 1685
Net amount： 1265 |
Authors： |
Tian MA; Shouhong WANG; |
Foundation： |
the National Science Foundation, the Office of Naval Research and the National
Natural Science Foundation of China. |
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| Abstract： |
The main objective of this article is to study both dynamic and structural
transitions of the Taylor-Couette
ow, by using the dynamic transition theory and geo-
metric theory of incompressible
ows developed recently by the authors. In particular,
it is shown that as the Taylor number crosses the critical number, the system undergoes
either a continuous or a jump dynamic transition, dictated by the sign of a computable,
nondimensional parameter R. In addition, it is also shown that the new transition states
have the Taylor vortex type of
ow structure, which is structurally stable. |
Keywords： |
Taylor problem, Couette
ow, Taylor vortices, Dynamic transition theory,
Dynamic classi cation of phase transitions, Continuous transition, Jump
transition, Mixed transition, Structural stability |
Classification： |
35, 76 |
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