Article
Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays
Author/s | García Luengo, Julia María
Marín Rubio, Pedro Real, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2015-09-01 |
Deposit Date | 2024-09-17 |
Published in |
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Abstract | In this paper we strengthen some results on the existence and properties of pullback attractors for a 2D Navier-Stokes model with finite delay formulated in [Caraballo and Real, J. Differential Equations 205 (2004), ... In this paper we strengthen some results on the existence and properties of pullback attractors for a 2D Navier-Stokes model with finite delay formulated in [Caraballo and Real, J. Differential Equations 205 (2004), 271--297]. Actually, we prove that under suitable assumptions, pullback attractors not only of fixed bounded sets but also of a set of tempered universes do exist. Moreover, thanks to regularity results, the attraction from different phase spaces also happens in . Finally, from comparison results of attractors, and under an additional hypothesis, we establish that all these families of attractors are in fact the same object. |
Citation | García Luengo, J.M., Marín Rubio, P. y Real, J. (2015). Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays. Communications on Pure and Applied Analysis, 14 (5), 1603-1621. https://doi.org/10.3934/cpaa.2015.14.1603. |
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