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Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation
the 2D quasi-geostrophic equation supercritical dissipation regularity weak solutions
2014/4/4
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
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...
INVISCID MODELS GENERALIZING THE 2D EULER AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
INVISCID MODELS GENERALIZING 2D EULER THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
2014/4/3
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...
DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
2014/4/3
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 ...
GENERALIZED SURFACE QUASI-GEOSTROPHIC EQUATIONS WITH SINGULAR VELOCITIES
GENERALIZED SURFACE QUASI-GEOSTROPHIC EQUATIONS SINGULAR VELOCITIES
2014/4/3
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...
GLOBAL REGULARITY FOR A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
GLOBAL REGULARITY A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
2014/4/3
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-...
On the global estimates of geostrophic and Ekman surface currents
drifter buoys Lagrangian trajectory applications ocean circulation and dynamics
2014/4/1
Surface currents in oceanic environments are of crucial importance because they transport momentum, heat, salt, and tracers over large distances that regulate both the local and large-scale climate co...
Regularity "in Large" for the 3D Salmon's Planetary Geostrophic Model of Ocean Dynamics
planetary geostrophic model global regularity ocean dynamics model global circulation
2011/2/28
It is well known, by now, that the three-dimensional non-viscous planetary geostrophic model,
with vertical hydrostatic balance and horizontal Rayleigh friction, coupled to the heat diffusion and tra...
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations
the 2D Navier-Stokes surface quasi-geostrophic equations
2010/11/8
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...
Time variability of cyclonic geostrophic circulation in the Mediterranean
cyclonic geostrophic circulation Mediterranean
2010/1/27
Interannual variability and trends of the surface geostrophic cyclonic circulation and cyclone frequency in Western and Eastern Mediterranean areas are analyzed, based on a cyclone data base derived f...
What can asymptotic expansions tell us about large-scale quasi-geostrophic anticyclonic vortices?
asymptotic expansions large-scale quasi-geostrophic anticyclonic vortices
2009/11/16
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...
Spectral evolution of two-layer weak geostrophic turbulence.Part I:Typical scenarios
Spectral evolution two-layer weak geostrophic turbulence Typical scenarios
2009/11/16
Long-time evolution of large-scale geophysical flows is considered in a β-plane approximation. Motions in an infinite 2-layer model ocean are treated as a system of weakly nonlinear Rossby waves (weak...
Dynamics of large-amplitude geostrophic flows over bottom topography
large-amplitude geostrophic flows bottom topography
2009/11/13
We examine the interaction of near-surface and near- bottom flows over bottom topography. A set of asymptotic equations for geostrophic currents in a three-layer fluid is derived. The depths of the ac...
Synchronization and chaos control in a periodically forced quasi-geostrophic two-layer model of baroclinic instability
Synchronization chaos control quasi-geostrophic two-layer model baroclinic instability
2009/11/9
Cyclic forcing on many timescales is believed to have a significant effect on various quasi-periodic, geophysical phenomena such as El Niño, the Quasi-Biennial Oscillation, and glacial cycles. ...
An implementation of the Local Ensemble Kalman Filter in a quasi geostrophic model and comparison with 3D-Var
Local Ensemble Kalman Filter quasi geostrophic model 3D-Var
2009/11/2
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...