Asymptotic Behaviour of Solutions for a Three Dimensional System of Globally Modified Navier-Stokes Equations with a Locally Lipschitz Delay Term

Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem, and, under suitable assumptions, we prove that there...

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Detalhes bibliográficos
Autores: Marín Rubio, Pedro, Márquez Durán, Antonio Miguel, Real Anguas, José
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2013
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25950
Acesso em linha:http://hdl.handle.net/11441/25950
https://doi.org/10.1016/j.na.2012.11.006
Access Level:acceso abierto
Palavra-chave:Globally modified Navier–Stokes equations
Finite delay
Descrição
Resumo:Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem, and, under suitable assumptions, we prove that there exists a unique stationary solution, which is globally asymptotically exponentially stable.