Energy Spectrum of Quasigeostrophic Turbulence

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Abstract

We consider the energy spectrum of a quasigeostrophic model of forced, rotating turbulent flow. We provide a rigorous a priori bound [Formula presented] 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 [Formula presented] energy spectrum that is expected in a two-dimensional Navier-Stokes inverse cascade. Our bound provides theoretical support for the [Formula presented] spectrum observed in recent experiments.

Original languageEnglish (US)
JournalPhysical review letters
Volume89
Issue number18
DOIs
StatePublished - Jan 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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