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• W1489702574 abstract "We study the inverse energy transfer in forced two-dimensional (2D) Navier--Stokes turbulence in a doubly periodic domain. It is shown that an inverse energy cascade that carries a nonzero fraction of the injected energy to the large scales via a power-law energy spectrum $propto k^{-alpha}$ requires that $alphage5/3$. This result is consistent with the classical theory of 2D turbulence that predicts a $k^{-5/3}$ inverse-cascading range, thus providing for the first time a rigorous basis for this important feature of the theory. We derive bounds for the Kolmogorov constant $C$ in the classical energy spectrum $E(k)=Cepsilon^{2/3}k^{-5/3}$, where $epsilon$ is the energy injection rate. Issues related to Kraichnan's conjecture of energy condensation and to power-law spectra as the quasi-steady dynamics become steady are discussed." @default.
• W1489702574 created "2016-06-24" @default.
• W1489702574 creator A5019837856 @default.
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• W1489702574 date "2004-12-10" @default.
• W1489702574 modified "2023-09-27" @default.
• W1489702574 title "Remarks on the KLB theory of two-dimensional turbulence" @default.
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• W1489702574 hasPublicationYear "2004" @default.
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