Attractors for 2D-Navier-Stokes Equations with Delays on Some Unbounded Domains

We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on unbounded domains satisfying Poincaré inequality, for the case in which a forcing term involving memory effects appears. Our proof uses an energy method and is valid for the autonomo...

Descripción completa

Detalles Bibliográficos
Autores: Marín Rubio, Pedro, Real Anguas, José
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25922
Acceso en línea:http://hdl.handle.net/11441/25922
https://doi.org/10.1016/j.na.2006.09.035
Access Level:acceso abierto
Palabra clave:Navier–Stokes equations
Delays terms
Unbounded domains
Asymptotic compactness
Attractors
Descripción
Sumario:We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on unbounded domains satisfying Poincaré inequality, for the case in which a forcing term involving memory effects appears. Our proof uses an energy method and is valid for the autonomous and nonautonomous cases.