Physical Applications

  • Vladimir E. Zakharov
  • Victor S. L’vov
  • Gregory Falkovich
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)


Now it is time for our theory to bear fruit and for us to harvest. In this chapter we shall recollect the results concerning specific physical systems and shall obtain some new results by specializing general approaches from the previous chapters. We shall try to describe most hitherto known facts with regard to the spectra of developed weak turbulence. The general model of wave turbulence adopted in this book is based on the detailed consideration of the wave-wave interaction. The interaction with the external environment was described by the function Γ(k) specifiying the decrement of wave attenuation or the growth-rate of wave instability. Nature is naturally more complex (for example, the interaction of water waves with wind and currents or wave-particle interactions in plasmas). Nevertheless, we believe the following fomulas and interpretations to provide a good basis for the further development of the theory of wave turbulence in various systems each of which might require a separate monograph for an adequate detailed description.


Rossby Wave Momentum Flux Interaction Coefficient Wave Turbulence Kolmogorov Spectrum 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Vladimir E. Zakharov
    • 1
  • Victor S. L’vov
    • 2
  • Gregory Falkovich
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Physics DepartmentWeizmann Institute of ScienceRehovotIsrael

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