@Article{ATA-38-243,
author = {Zhang , Qi and Pan , Xinghong},
title = {A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang},
journal = {Analysis in Theory and Applications},
year = {2022},
volume = {38},
number = {3},
pages = {243--296},
abstract = {<p style="text-align: justify;">In this paper, we give a brief survey of recent results on axially symmetric
Navier-Stokes equations (ASNS) in the following categories: regularity criterion, Liouville property for ancient solutions, decay and vanishing of stationary solutions. Some
discussions also touch on the full 3 dimensional equations. Two results, closing of the
scaling gap for ASNS and vanishing of homogeneous D solutions in 3 dimensional
slabs will be described in more detail.<br/>In the addendum, two new results in the 3rd category will also be presented, which
are generalizations of recently published results by the author and coauthors.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2020-0050},
url = {http://global-sci.org/intro/article_detail/ata/20802.html}
}