Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains |
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Authors: | Grzegorz ?ukaszewicz and Witold Sadowski |
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Abstract: | We investigate the flow of a magneto-micropolar fluid inan arbitrary unbounded domain on which the Poincaré inequalityholds. Assuming homogeneous boundary conditions and the externalfields to be almost periodic in time we prove the existence of theuniform attractor by using the energy method [10] which wegeneralize to nonautonomous systems. We consider the problem in anabstract setting that allows to include also other hydrodynamicalmodels. In particular, we extend the result of R. Rosa [12]from autonomous to nonautonomous Navier-Stokes equations inunbounded domains. |
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