Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence
| dc.creator | Tran, Chuong V. | |
| dc.date | 2004-12-10 | |
| dc.date.accessioned | 2026-07-07T05:36:08Z | |
| dc.date.available | 2026-07-07T05:36:08Z | |
| dc.description | The inverse transfer in two-dimensional turbulence governed by the surface quasi-geostrophic (SQG) equation is studied. The nonlinear transfer of this system conserves the two quadratic quantities $Ψ_1=<|(-Δ)^{1/4}ψ|^2>/2$ and $Ψ_2=<|(-Δ)^{1/2}ψ|^2>/2$ (kinetic energy), where $ψ$ is the streamfunction and $<\cdot>$ denotes a spatial average. In the limit of infinite domain, the kinetic energy density $Ψ_2$ remains bounded. For power-law inverse-transfer region, the inverse flux of $Ψ_1$ diminishes as it proceeds toward sufficiently low wavenumbers, implying that no persistent inverse cascade of $Ψ_1$ is sustainable. The unrealizability of an inverse cascade of $Ψ_1$ implies that there is no direct cascade of $Ψ_2$. Hence, the dual-cascade picture which is widely believed to be realizable in two-dimensional Navier--Stokes turbulence does not apply to SQG turbulence. Numerical results supporting the theoretical predictions are presented. | |
| dc.description | 17 pages, 2 figures, submitted to Physica D | |
| dc.identifier | https://arxiv.org/abs/nlin/0412025 | |
| dc.identifier | http://arxiv.org/abs/nlin/0412025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80888 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence | |
| dc.type | text |