Navier-Stokes equations with delays on unbounded domains

Some results on the existence and uniqueness of solutions to Navier–Stokes equations when the domain is unbounded and the external force contains some hereditary characteristics are proved for both the evolutionary and the stationary cases. Exponential stability of the stationary solution is also es...

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Detalles Bibliográficos
Autores: Garrido Atienza, María José, Marín Rubio, Pedro
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2006
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25932
Acceso en línea:http://hdl.handle.net/11441/25932
https://doi.org/10.1016/j.na.2005.05.057
Access Level:acceso abierto
Palabra clave:Navier–Stokes equation
Variable and distributed delays
Unbounded domains
Descripción
Sumario:Some results on the existence and uniqueness of solutions to Navier–Stokes equations when the domain is unbounded and the external force contains some hereditary characteristics are proved for both the evolutionary and the stationary cases. Exponential stability of the stationary solution is also established in dimension two.