Global existence of regular special solutions to the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has already been shown. In this paper we prove the existence of the global attractor for the Navier-Stokes equations and convergence of the solution to a stationary solution.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-1,
author = {Piotr Kacprzyk},
title = {Global attractor for the Navier-Stokes equations in a cylindrical pipe},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {201-217},
zbl = {1188.35132},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-1}
}
Piotr Kacprzyk. Global attractor for the Navier-Stokes equations in a cylindrical pipe. Annales Polonici Mathematici, Tome 98 (2010) pp. 201-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-3-1/