Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity

The so-called Ladyzhenskaya model is analyzed from a non-autonomous dynamical system point of view, for weak and strong solutions. Existence of attractors when forces are time-dependent is ensured in several universes with different tempered parameter conditions, and also for fixed bounded sets. Att...

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Detalhes bibliográficos
Autores: López Lázaro, Heraclio Ledgar, Marín Rubio, Pedro, Planas, Gabriela
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162563
Acesso em linha:https://hdl.handle.net/11441/162563
https://doi.org/10.1007/s00021-021-00561-7
Access Level:acceso abierto
Palavra-chave:Ladyzhenskaya model
Pullback attractors
Regularity
Descrição
Resumo:The so-called Ladyzhenskaya model is analyzed from a non-autonomous dynamical system point of view, for weak and strong solutions. Existence of attractors when forces are time-dependent is ensured in several universes with different tempered parameter conditions, and also for fixed bounded sets. Attraction is proved in L2 and W1,p norms and relationships between these families are also established.