搜索结果: 1-8 共查到“数学 quasi-geostrophic”相关记录8条 . 查询时间(0.015 秒)
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-...
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...
Energy Spectrum of Quasi-Geostrophic Turbulence
Energy Spectrum Quasi-Geostrophic Turbulence
2014/4/4
We consider the energy spectrum of a quasi-geostrophic model of forced, rotating turbulent ow. We provide a rigorous a priori bound E(k) Ck2 valid for wave numbers that are smaller than a wave number...