On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition
Volume 81 / 2008
Banach Center Publications 81 (2008), 81-93
MSC: 76D05, 76F10, 76F20.
DOI: 10.4064/bc81-0-5
Abstract
We consider a two-dimensional Navier-Stokes shear flow with time dependent boundary driving and subject to Tresca law. We establish the existence of a unique global in time solution and then, using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set, we prove the existence of the pullback attractor for the associated cocycle. This research is motivated by a problem from lubrication theory.
