Weak pullback attractors of setvalued processes

Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Kloeden, Peter E., Marín Rubio, Pedro
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23731
Acceso en línea:http://hdl.handle.net/11441/23731
https://doi.org/10.1016/j.jmaa.2003.09.039
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:Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point. The concept is useful in, for example, continuous time control systems and is related to that of viability.