On weighted regularity criteria for the axisymmetric Navier–Stokes equations
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摘要
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].
论文关键词：Axisymmetric Navier–Stokes equations,Regularity criterion,Weighted space
论文评审过程：Received 29 April 2016, Revised 19 August 2016, Accepted 1 October 2016, Available online 22 October 2016, Version of Record 22 October 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.10.001
