Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837570 | Nonlinear Analysis: Real World Applications | 2013 | 16 Pages |
Abstract
We consider a two-dimensional nonstationary Navier–Stokes shear flow with a subdifferential boundary condition on a part of the boundary of the flow domain, namely, with a boundary driving subject to the Tresca law. There exists a unique global in time solution of the considered problem which is governed by a variational inequality. Our aim is to prove the existence of a global attractor of a finite fractional dimension and of an exponential attractor for the associated semigroup. We use the method of ll-trajectories. This research is motivated by a problem from lubrication theory.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Grzegorz Łukaszewicz,