Local and Nonlocal Transfer of Motion Integrals in Wave Turbulence

  • G. E. Falkovich
  • M. D. Spector
Conference paper
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)


The picture of cascade turbulence suggested by Richardson, Kolmogorov and Obukhov is based on the concept of interaction locality [1–5]. That means that those modes (vortices or waves) effectively interact which are of comparable scales only. The question naturally arise: whether a locality property should be satisfied on the steady Kolmogorov-like spectrum only or on the slightly differing distributions as well? Proceeding from continuity-like speculations, one might suppose that in general case interaction locality for Kolmogorov distribution leads to that for close ones. Such a supposition is, however, incorrect since Kolmogorov spectrum usually possesses higher degree of symmetry (for example, being isotropic) than arbitrary yet close distributions. A stationary locality does not mean thus an evolutionary locality as it was stated in [4,6].


Kinetic Equation Motion Integral Cascade Turbulence Kolmogorov Spectrum Isotropic Spectrum 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • G. E. Falkovich
    • 1
  • M. D. Spector
    • 2
  1. 1.Department of Nuclear PhysicsWeizmann Institute of ScienceRehovotIsrael
  2. 2.Department of Fluid Mechanics and Heat TransferTel Aviv UniversityTel AvivIsrael

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