Differential models for 2D turbulence
| dc.creator | L'vov, Victor S. | |
| dc.creator | Nazarenko, Sergey | |
| dc.date | 2006-05-01 | |
| dc.date | 2006-05-17 | |
| dc.date.accessioned | 2026-07-07T07:47:07Z | |
| dc.date.available | 2026-07-07T07:47:07Z | |
| dc.description | We present two phenomenological models for 2D turbulence in which the energy spectrum obeys a nonlinear fourth-order and a second-order differential equations respectively. Both equations respect the scaling properties of the original Navier-Stokes equations and it has both the -5/3 inverse-cascade and t -3 direct-cascade spectra. In addition, the fourth order equation has Raleigh-Jeans thermodynamic distributions, as exact steady state solutions. We use the fourth-order model to derive a relation between the direct-cascade and the inverse-cascade Kolmogorov constants which is in a good qualitative agreement with the laboratory and numerical experiments. We obtain a steady state solution where both the enstrophy and the energy cascades are present simultaneously and we discuss it in context of the Nastrom-Gage spectrum observed in atmospheric turbulence. We also consider the effect of the bottom friction onto the cascade solutions, and show that it leads to an additional decrease and finite-wavenumber cutoffs of the respective cascade spectra. | |
| dc.description | 5 pages, JETP Letters, submitted | |
| dc.identifier | https://arxiv.org/abs/nlin/0605003 | |
| dc.identifier | http://arxiv.org/abs/nlin/0605003 | |
| dc.identifier | JETP Letters, v. 83, 635-639 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124055 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Atmospheric and Oceanic Physics | |
| dc.subject | Fluid Dynamics | |
| dc.title | Differential models for 2D turbulence | |
| dc.type | text |