Pullback and forward attractors for a 3D Lans-alpha model with delay

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 s...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Márquez Durán, Antonio Miguel, Real Anguas, José
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23699
Acceso en línea:http://hdl.handle.net/11441/23699
https://doi.org/10.3934/dcds.2006.15.559
Access Level:acceso abierto
Palabra clave:3D-Lagrangian averaged Navier-Stokes equations
Pullback attractor
Forward attractor
Variable delay
Distributed delay
Descripción
Sumario: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.