Regularity properties of the attractor to the Navier–Stokes equations
Volume 37 / 2010
Applicationes Mathematicae 37 (2010), 341-351
MSC: 35Q35, 76D03, 76D05.
DOI: 10.4064/am37-3-5
Abstract
Existence of a global attractor for the Navier–Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has been shown already. In this paper we prove the higher regularity of the attractor.