Symmetries, invariants and cascades in a shell model of turbulence
| dc.creator | Ditlevsen, P. D. | |
| dc.date | 1998-10-30 | |
| dc.date | 2000-04-05 | |
| dc.date.accessioned | 2026-07-07T02:35:34Z | |
| dc.date.available | 2026-07-07T02:35:34Z | |
| dc.description | Reduced wavenumber models of turbulence, shell models, show cascade processes and anomalous scaling of correlators which might be analogous to what is observed in Navier-Stokes (N-S) turbulence. The scaling properties of the shell models depends on the specific symmetries and invariants of the models. A new shell model is investigated. It is argued that this model might have a closer resemblance than the standard GOY model to the N-S turbulence. The new shell model coincides with the Sabra model proposed by L'vov et al. \cite{lvov}, for a specific choice of the free parameters of their model. The model has for this choice of parameters, besides the energy and the 'helicity', a cubic inviscid invariant. | |
| dc.description | 8 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9811004 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9811004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15655 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Symmetries, invariants and cascades in a shell model of turbulence | |
| dc.type | text |