This paper discusses the long time behavior of solutions for a two-dimensional (2D) nonautonomous micropolar fluid flow in 2D unbounded domains in which the Poincaré inequality holds. We use the energy method to obtain the so-called asymptotic compactness of the family of processes associated with t
✦ LIBER ✦
Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
✍ Scribed by Grzegorz Łukaszewicz; Witold Sadowski
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 193 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0044-2275
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We study the asymptotic behaviour of non-autonomous 2D Navier-Stokes equations in unbounded domains for which a Poincaré inequality holds. In particular, we give sufficient conditions for their pullback attractor to have finite fractal dimension. The existence of pullback attractors in this framewor