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
The uniform attractor for the 2D non-autonomous Navier–Stokes flow in some unbounded domain
✍ Scribed by Yanren Hou; Kaitai Li
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 316 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0362-546X
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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
## Abstract Let T=ℝ×(‐1,1) and &ℴ⊂ℝ^2^ be a smoothly bounded open set, closure of which is contained in __T__. We consider the stationary Navier–Stokes flows in $\Omega {:=} T \backslash \bar{\scriptstyle{O}}$. In general, the pressure is determined up to a constant. Since Ω has two extremities, we