title: Energy budgets in Charney-Hasegawa-Mima and surface quasigeostrophic turbulence.
abstract: We study energy transfer in unbounded Charney-Hasegawa-Mima and surface quasigeostrophic turbulence. The possible inverse-cascading quantities in these systems are, respectively, I identical with integral ( infinity )(0)k(-2)E(k) dk and J identical with integral ( infinity )(0)k(-1)E(k) dk, where E(k) is the kinetic energy spectrum. The supposed direct-cascading quantities for both surface quasigeostrophic and Navier-Stokes turbulence are shown to be bounded. We derive a constraint on E(k) for the surface quasigeostrophic system.
authors.affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1.
authors.forename: Chuong V
authors.initials: CV
authors.lastname: Tran
authors.forename: John C
authors.initials: JC
authors.lastname: Bowman