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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
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...