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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...
Regularity of coupled two-dimensional Nonlinear Fokker-Planck and Navier-Stokes Systems
Nonlinear Fokker-Planck equations Navier-Stokes equations microscopic variables Deborah number
2014/4/4
We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The particles add stress...
A NOTE ON THE REGULARITY OF INVISCID SHELL MODEL OF TURBULENCE
NOTE ON THE REGULARITY INVISCID SHELL MODEL OF TURBULENCE
2014/4/4
In this paper we continue the analytical study of the sabra shell model of energy turbulent cascade initiated in [11]. We prove the global existence of weak solutions of the inviscid sabra shell model...