Global attractor for the Navier–Stokes equations in a cylindrical pipe
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 201-217
MSC: 35Q35, 76D03, 76D05.
DOI: 10.4064/ap97-3-1
Abstract
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.
