1999/10/13 by A. I. Smolyakov, P. H. Diamond · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Action (physics) #Flow (mathematics) #Invariant (physics) #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Scale invariance #Shear (geology) #Shear flow #Turbulence #Wave turbulence #physics.plasm-ph
paper · pdf · doi:10.1063/1.873725
17 pages
arxiv created 1999/10/13 · openalex publication_date 1999/12/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Generalized action invariants are identified for various models of drift wave turbulence in the presence of the mean shear flow. It is shown that the wave kinetic equation describing the interaction of the small scale turbulence and large scale shear flow can be naturally writen in terms of these invariants. Unlike the wave energy, which is conserved as a sum of small- and large-scale components, the generalized action invariant is shown to correspond to a quantity which is conserved for the small scale component alone. This invariant can be used to construct canonical variables leading to a different definition of the wave action (as compared to the case without shear flow). It is suggested that these new canonical action variables form a natural basis for the description of the drift wave turbulence with a mean shear flow.