Asymptotic behaviour of a system of micropolar equations
This work is concerned with three-dimensional micropolar fluids flows in a bounded domain with boundary of class C∞. Based on the theory of dissipative systems, we prove the existence of restricted global attractors for local semiflows on suitable fractional phase spaces Z αp, namely for p ∈ (3, +∞)...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/49147 |
| Acesso em linha: | http://hdl.handle.net/11441/49147 https://doi.org/10.14232/ejqtde.2016.1.15 |
| Access Level: | acceso abierto |
| Palavra-chave: | Micropolar fluids Local semiflows and restricted global attractors |
| Resumo: | This work is concerned with three-dimensional micropolar fluids flows in a bounded domain with boundary of class C∞. Based on the theory of dissipative systems, we prove the existence of restricted global attractors for local semiflows on suitable fractional phase spaces Z αp, namely for p ∈ (3, +∞) and α ∈ [1/2, 1). Moreover, we prove that all these attractors are in fact the same set. Previously, it is shown that the Lamé operator is a sectorial operator in each Lp(Ω) with 1 < p < +∞, p 6= 3/2 and therefore, it generates an analytic semigroup in these spaces. |
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