(1) University of Warsaw, Department of Mathematics, ul. Banacha 2, 02-097 Warsaw, Poland;(2) University of Warsaw, Department of Mathematics, ul. Banacha 2, 02-097 Warsaw, Poland
Abstract:
We investigate the flow of a magneto-micropolar fluid in
an arbitrary unbounded domain on which the Poincaré inequality
holds. Assuming homogeneous boundary conditions and the external
fields to be almost periodic in time we prove the existence of the
uniform attractor by using the energy method 10] which we
generalize to nonautonomous systems. We consider the problem in an
abstract setting that allows to include also other hydrodynamical
models. In particular, we extend the result of R. Rosa 12]
from autonomous to nonautonomous Navier-Stokes equations in
unbounded domains.