Attractors for a double time-delayed 2D-Navier-Stokes model

Julia García-Luengo; Pedro Marín-Rubio; Gabriela Planas

doi:10.3934/dcds.2014.34.4085

Article Contents

2014, Volume 34, Issue 10: 4085-4105. Doi: 10.3934/dcds.2014.34.4085

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Attractors for a double time-delayed 2D-Navier-Stokes model

1.
Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla
2.
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla
3.
Departamento de Matemática, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, 13083-859 Campinas, SP

Received: December 2012

Revised: July 2013

Published: October 2014

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We also analyze the existence of pullback attractors for the model in several phase-spaces and the relationship among them.

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Mathematics Subject Classification: Primary: 35Q35, 35Q30, 35B40, 37L30.

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References

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