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Global attractor for heat convection problem in a micropolar fluid. (English) Zbl 1191.37042
The author uses the model proposed by Eringen, which is the generalization of the Navier-Stokes model. The behaviour of the fluid layer filling the region between two rigid surfaces is studied. The existence and the uniqueness of global in time solutions and existence of global attractor is shown. The Hausdorff dimension of the global attractor is estimated.

MSC:
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
35B41 Attractors
35Q35 PDEs in connection with fluid mechanics
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
76D05 Navier-Stokes equations for incompressible viscous fluids
76R05 Forced convection
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