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On variational principles for coherent vortex structures
Authors:B. W. Van de Fliert and E. Van Groesen
Affiliation:(1) Dept. of Appl. Math., University of Twente, The Netherlands
Abstract:Different approaches are discussed of variational principles characterizing coherent vortex structures in two-dimensional flows. Turbulent flows seem to form ordered structures in the large scales of the motion and the self-organization principle predicts asymptotic states realizing an extremal value of the energy or a minimum of enstrophy. On the other hand the small scales take care of the increase of entropy, and asymptotic results can be obtained by applying the theory of equilibrium statistical mechanics.
Keywords:plane vorticity flows  variational methods  relative equilibria  self-organization
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