Three-dimensional quasi-geostrophic vortex equilibria with -fold symmetry

On Solutions of Three Quasi-geostrophic Models

We consider the quasi-geostrophic model and its two different regularizations. Global regularity results are established for the regularized models with critical or sub-critical indices. Constantin, E and Titi’s proof of Onsager’s conjecture [2] and the notion of dissipative solutions of Duchon and Robert [9] are extended to weak solutions of the quasi-geostrophic equation. AMS (MOS) Numbers: 8...

The vortex patch problem for the surface quasi-geostrophic equation.

In this article, the analog of the Euler vortex patch problem for the surface quasi-geostrophic equation is considered.

Maximum entropy theory and the rapid relaxation of three-dimensional quasi-geostrophic turbulence.

Turbulent flow in a rapidly rotating stably stratified fluid (quasi-geostrophic turbulence) commonly decays toward a stable pattern of large-scale jets or vortices. A formula for the most probable three-dimensional end state, the maximum entropy state (MES), is derived using a form of Lynden-Bell statistical mechanics. The MES is determined by a set of integral invariants, including energy, as ...

Surface quasi-geostrophic dynamics

The dynamics of quasi-geostrophic flow with uniform potential vorticity reduces to the evolution of buoyancy, or potential temperature, on horizontal boundaries. There is a formal resemblance to two-dimensional flow, with surface temperature playing the role of vorticity, but a different relationship between the flow and the advected scalar creates several distinctive features. A series of exam...

Three-dimensional equilibria in DRAKONs