Pullback Attractors for Globally Modified Navier-Stokes Equations with Infinite Delays

Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evol...

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Detalhes bibliográficos
Autores: Marín Rubio, Pedro, Márquez Durán, Antonio Miguel, Real Anguas, José
Formato: artículo
Fecha de publicación:2011
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/25942
Acesso em linha:http://hdl.handle.net/11441/25942
https://doi.org/10.3934/dcdsb.2010.14.655
Access Level:acceso abierto
Palavra-chave:Globally Modified Navier-Stokes Equations
infinite delays
Descrição
Resumo:Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to the stationary solution.