Geodesic
Remarks on regularity criteria for the Navier–Stokes equations with axisymmetric data
Zujin Zhang1
1 School of Mathematics and Computer Sciences Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China
Annales Polonici Mathematici, Tome 117 (2016) no. 2, pp. 181-196.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $A_\beta \ (1 \lt \beta \lt \infty )$ weights, we establish regularity criteria involving $u^r$, $\omega ^z$ or $\omega ^\theta $ in some weighted Lebesgue spaces. This improves many previous results.
DOI : 10.4064/ap3856-3-2016
Keywords: consider axisymmetric navier stokes equations non zero swirl component invoking hardy sobolev interpolation inequality hardy inequality theory beta beta infty weights establish regularity criteria involving omega omega theta weighted lebesgue spaces improves many previous results

Zujin Zhang 1

1 School of Mathematics and Computer Sciences Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China 
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Zujin Zhang. Remarks on regularity criteria for the Navier–Stokes equations with axisymmetric data. Annales Polonici Mathematici, Tome 117 (2016) no. 2, pp. 181-196. doi : 10.4064/ap3856-3-2016. http://geodesic.mathdoc.fr/articles/10.4064/ap3856-3-2016/

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