On H1-pullback attractors for nonautonomous micropolar fluid equations in a bounded domain
✍ Scribed by Grzegorz Łukaszewicz; Agnieszka Tarasińska
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 454 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
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 We obtain the __L__~__p__~–__L__~__q__~ maximal regularity of the Stokes equations with Robin boundary condition in a bounded domain in ℝ^__n__^ (__n__⩾2). The Robin condition consists of two conditions: __v__ ⋅ __u__=0 and α__u__+β(__T__(__u__, __p__)__v__ – 〈__T__(__u__, __p__)__v__,
In this paper, we study the regularity criterion of weak solutions of the three dimensional micropolar fluid flows. It is proved that if the pressure satisfies where P B 1 1,1 denotes the critical Besov space, then the weak solution .u, w/ becomes a regular solution on .0, T. This regularity criter