The Early Onset of Turbulence

  • Robert D. Richtmyer
Part of the Texts and Monographs in Physics book series (TMP)


The word “turbulence,” as used in practical fluid dynamics, refers to a flow whose chaotic aspects are so highly developed that statistical methods can be used for the study of at least many of its characteristics. It occurs at substantially higher Reynolds numbers than those we shall consider. For example, fully developed turbulence in air, in which the so-called inertial subrange is fully developed, requires more violent conditions than can be achieved in most wind tunnels, and is observed mainly in the free atmosphere.


Periodic quasi-periodic almost periodic and aperiodic motions ω-limit set attractors power spectrum Lyapounov stability strange attractors the Lorenz attractor strongly generic generic nongeneric and strongly nongeneric properties of systems 


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Copyright information

© Springer-Verlag Inc. 1981

Authors and Affiliations

  • Robert D. Richtmyer
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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