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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
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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
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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
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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-...