The existence of global regular axially symmetric solutions to Navier-Stokes equations in a bounded cylinder and for boundary slip conditions is proved. Next, stability of these solutions is shown.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-16, author = {M. Wiegner and W. M. Zaj\k aczkowski}, title = {On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {251-278}, zbl = {1101.35357}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-16} }
M. Wiegner; W. M. Zajączkowski. On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions. Banach Center Publications, Tome 68 (2005) pp. 251-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-16/