Three-dimensional filaments of quasi-geostrophic potential vorticity are generic features atmospheric and oceanic flows. They often generated during the strong interactions between three-dimensional vortices. contribute to a direct cascade enstrophy in spectral space. These correspond shear zones. Therefore they may be sensitive instabilities akin Kelvin–Helmholtz instability classical two-dime...

We generalize an idea in the works of Landauer and Bennett on computations, Hill's chemical kinetics, to emphasize importance kinetic cycles mesoscopic nonequilibrium thermodynamics (NET). For continuous stochastic systems, a NET phase space is formulated terms cycle affinity $\nabla\wedge\big(\mathbf{D}^{-1}\mathbf{b}\big)$ vorticity potential $\mathbf{A}(\mathbf{x})$ stationary flux $\mathbf{...

We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear elliptic partial differential equation. The result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...

References elated-urls http://rsta.royalsocietypublishing.org/content/369/1937/771.full.html#r Article cited in: html#ref-list-1 http://rsta.royalsocietypublishing.org/content/369/1937/771.full. This article cites 38 articles, 4 of which can be accessed free Subject collections (24 articles) geophysics • (116 articles) fluid mechanics • (30 articles) astrophysics • collections Articles on si...