On weighted regularity criteria for the axisymmetric Navier–Stokes equations

Zujin Zhang

Applied Mathematics and Computation, 2017, vol. 296, issue C, 18-22

Abstract: In this paper, we consider the axisymmetric Navier–Stokes equations with swirl. By invoking the magic identity of Miao and Zheng, the symmetry properties of Riesz transforms and the Hardy–Sobolev inequality, we establish regularity criterion involving rdωθ with −1≤d<0. This improves and extends the results of [3,21].

Keywords: Axisymmetric Navier–Stokes equations; Regularity criterion; Weighted space (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:296:y:2017:i:c:p:18-22

DOI: 10.1016/j.amc.2016.10.001

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