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Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
Authors:Email author" target="_blank">Grzegorz??ukaszewiczEmail author  Witold?Sadowski
Institution:(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.
Keywords:35B41  35Q35
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