Article
Pullback and forward attractors for a 3D Lans-alpha model with delay
Author/s | Caraballo Garrido, Tomás
Márquez Durán, Antonio Miguel Real Anguas, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2006 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we apply the theory of pullback attractors to ensure the existence of a pullback attractor, and at the ... We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we apply the theory of pullback attractors to ensure the existence of a pullback attractor, and at the same time, we also prove the existence of a uniform (forward) attractor in the sense of Chepyzhov and Vishik. Instead of working directly with the 3D LANS model, we establish a general theory for an abstract delay model and then we apply the general results to our particular situation. |
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