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We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (α < 1/2) dissipation (−∆)α: If a Leray-Hopf weak solution is H¨older continuous θ...
On the critical dissipative quasi-geostrophic equation     the critical  dissipative  quasi-geostrophic equation       font style='font-size:12px;'> 2014/4/4
The 2D quasi-geostrophic (QG) equation is a two dimensional model of the 3D incompressible Euler equations. When dissipation is included in the model then solutions always exist if the dissipation's w...
Any classical solution of the 2D incompressible Euler equation is global in time. However, it remains an outstanding open problem whether classical solutions of the surface quasi-geostrophic (SQG) equ...
This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field u is determined by the ...
This paper establishes several existence and uniqueness results for two families of active scalar equations with velocity elds determined by the scalars through very singular integrals. The rst fami...
with κ > 0, α ∈ (0,1] and θ0 ∈ L2(R2). We remark that the extra Λα−1 is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-...
This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field $u$ is determined by the act...
The problem of the large-scale quasi-geostrophic anticyclonic vortices is studied in the framework of the baratropic rotating shallow- water equations on the β-plane. A systematic approach based on th...
Cyclic forcing on many timescales is believed to have a significant effect on various quasi-periodic, geophysical phenomena such as El Ni&ntilde;o, the Quasi-Biennial Oscillation, and glacial cycles. ...
We perform data assimilation experiments with a widely used quasi-geostrophic channel model and compare the Local Ensemble Kalman Filter (LEKF) with a 3D-Var developed for this model. The LEKF shows a...
A Stability Investigation of a Three Level Quasi-Geostrophic Model.
A simple, two-layer, quasi-geostrophic model is used to investigate the stability of baroclinic currents confined to a finite length scale L in a basin of considerably larger dimension (4L). The curre...
Simultaneous path and bottom velocity measurements made during the Transient Meander Experiment, reported in Part I, are analyzed in terms of a quasi-geostrophic thin jet model of the meandering Gulf ...
The purpose of this paper is to compare two numerical models of vastly different complexity and computational requirements, which have been used recently in a number of midlatitude ocean simulations. ...
Results from a two-layer, quasi-geostrophic, general circulation model of the ocean with fine horizontal resolution are presented. As in Holland and Lin (1975a.b), mesoscale eddies spontaneously arise...

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