Artículo
Attractors for 2D-Navier-Stokes models with delays
Autor/es | Caraballo Garrido, Tomás
Real Anguas, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2004 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | The existence of an attractor for a 2D-Navier-Stokes system with delay is proved. The theory of pullback attractors is successfully applied to obtain the results since the abstract functional framework considered turns out ... The existence of an attractor for a 2D-Navier-Stokes system with delay is proved. The theory of pullback attractors is successfully applied to obtain the results since the abstract functional framework considered turns out to be nonautonomous. However, on some occasions, the attractors may attract not only in the pullback sense but in the forward one as well. Also, this formulation allows to treat, in a unified way, terms containing various classes of delay features (constant, variable, distributed delays, etc.). As a consequence, some results for the autonomous model are deduced as particular cases of our general formulation. |
Cita | Caraballo Garrido, T. y Real Anguas, J. (2004). Attractors for 2D-Navier-Stokes models with delays. Journal of Differential Equations, 205 (2), 271-297. |
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