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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Bibliographic Details
Authors: Garrido Atienza, María José, Marín Rubio, Pedro
Format: article
Status:Versión aceptada para publicación
Publication Date:2006
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25932
Online Access:http://hdl.handle.net/11441/25932
https://doi.org/10.1016/j.na.2005.05.057
Access Level:Open access
Keyword:Navier–Stokes equation
Variable and distributed delays
Unbounded domains
Description
Summary: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.