Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays

Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of solutions to the stationary one, when this is unique. The first is a direct metho...

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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Real Anguas, José
Formato: artículo
Fecha de publicación:2003
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23646
Acesso em linha:http://hdl.handle.net/11441/23646
https://doi.org/10.1098/rspa.2003.1166
Access Level:acceso abierto
Palavra-chave:Stability
long-time behaviour
2D-Navier-Stokes equations
variable delays
Descrição
Resumo:Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of solutions to the stationary one, when this is unique. The first is a direct method while the second is based in the Razumikhin type one.