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Zbl 1189.35030
Tarasińska, A.
Pullback attractor for heat convection problem in a micropolar fluid. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 3, 1458-1471 (2010). ISSN 1468-1218

Summary: We consider a two-dimensional micropolar fluid flow heated from below. We assume that the temperature of the lower part of the boundary is a function of time. That leads to the non-autonomous system of equations. We show the existence of the pullback attractor for the problem. Next, the dimension of the attractor is estimated from above.
MSC 2000:
*35B41 Attractors
35Q30 Stokes and Navier-Stokes equations

Keywords: dimension of pullback attractor; non-autonomous Navier-Stokes equations; two space dimensions

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