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Structural Evolution of the Taylor Vortices

Published online by Cambridge University Press:  15 April 2002

Tian Ma and
Shouhong Wang
Tian Ma
Affiliation:
Department of Mathematics, Sichuan University, Chengdu, P.R. China.
Shouhong Wang
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405. email: showang@indiana.edu
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Abstract

We classify in this article the structure and its transitions/evolution of the Taylor vortices with perturbations in one of the following categories: a) the Hamiltonian vector fields, b) the divergence-free vector fields, and c). the solutions of the Navier-Stokes equations on the two-dimensional torus.This is part of a project oriented toward to developing a geometric theory of incompressible fluid flows in the physical spaces.

Keywords

Divergence-free vector fieldsHamiltonian vector fieldsTaylor vorticesNavier-Stokes equationsblock structureblock structural stabilitystructural evolution.

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