Vortex Dynamics and Turbulence

  • P. G. Saffman
Part of the NATO ASI Series book series (NSSB, volume 268)

Abstract

We shall define Vortex Dynamics to be the study of laminar (i.e. non turbulent) solutions of the equations
$$ \frac{{\partial \omega }}{{\partial t}} + u \bullet \nabla \omega = - \omega \bullet \nabla u + \left( {v{\nabla ^2}\omega } \right) $$
(1)
$$ u = cur{l^{ - 1}}\omega $$
(2)
for which ω is compact. It is also implied that usually v ≪ 1.

Keywords

Vortex Vorticity Nite Incompressibility 

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • P. G. Saffman
    • 1
  1. 1.Applied Mathematics 217-50California Institute of TechnologyPasadenaUSA

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