Artículo
Asymptotic behaviour of a system of micropolar equations
Autor/es | Marín Rubio, Pedro
Poblete Cantellano, Mariano Rojas Medar, Marko Antonio Torres Cerda, Francisco Javier |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico, |
Fecha de publicación | 2016 |
Fecha de depósito | 2016-11-25 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
P12-FQM-1492 22256 DIUDA info:eu-repo/grantAgreement/MINECO/MTM2012-32325 1120260 22294 DIUDA |
Cita | Marín Rubio, P., Poblete Cantellano, M., Rojas Medar, M.A. y Torres Cerda, F.J. (2016). Asymptotic behaviour of a system of micropolar equations. Electronic Journal of Qualitative Theory of Differential Equations, 2016 (15), 1-18. |
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