Energy spectrum of quasigeostrophic turbulence.

نویسنده

  • Peter Constantin
چکیده

We consider the energy spectrum of a quasigeostrophic model of forced, rotating turbulent flow. We provide a rigorous a priori bound E(k)<or=Ck(-2) valid for wave numbers that are smaller than a wave number associated with the forcing injection scale. This upper bound separates this spectrum from the Kolmogorov-Kraichnan k(-5/3) energy spectrum that is expected in a two-dimensional Navier-Stokes inverse cascade. Our bound provides theoretical support for the k(-2) spectrum observed in recent experiments.

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عنوان ژورنال:
  • Physical review letters

دوره 89 18  شماره 

صفحات  -

تاریخ انتشار 2002