Attractors for a Double Time-Delayed 2D-Navier-Stokes Model

In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We also analyze the existence of pullback attractors for the model in several phase-...

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Detalles Bibliográficos
Autores: García Luengo, Julia María, Marín Rubio, Pedro, Planas, Gabriela
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25923
Acceso en línea:http://hdl.handle.net/11441/25923
https://doi.org/10.3934/dcds.2014.34.4085
Access Level:acceso abierto
Palabra clave:Navier-Stokes equations
Nonlinear delay terms
Pullback attractors
Well-posed/ill-posed Navier-Stokes
Delayed convective term
Tempered universes for non-autonomous dynamical systems
Descripción
Sumario:In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We also analyze the existence of pullback attractors for the model in several phase-spaces and the relationship among them.