Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data
We consider the axisymmetric Navier-Stokes equations with non-zero swirl component. By invoking the Hardy-Sobolev interpolation inequality, Hardy inequality and the theory of (1 < β < ∞) weights, we establish regularity criteria involving , or in some weighted Lebesgue spaces. This improves many previous results.