Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour

By Julia García-Luengo, Pedro Marín-Rubio, José Real. 2012

111 citations recorded by the source corpus.

Abstract In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another universe given by a tempered condition. The existence of pullback attractors in these different universes is established, and thanks to regularity properties, the relation between these several families of attractors and the corresponding in H is successfully studied. Finally, two results about the tempered behaviour in V and ( H 2 ( Ω ) ) 2 of the pullback attractors, when time goes to −∞, are obtained.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/d6c2f72c4d49cc21548da07a16caafcfada8e84a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Pedro Marín-Rubio
2. Tomás Caraballo
3. José Real
4. Bixiang Wang
5. Linfang Liu
6. Xiaoying Han
7. José Valero

In Computational Theory and Mathematics

1. Pedro Marín-Rubio
2. Tomás Caraballo
3. José Real
4. Bixiang Wang
5. Linfang Liu
6. María J. Garrido-Atienza
7. Kening Lu

In Control and Systems Engineering

1. Pedro Marín-Rubio
2. Tomás Caraballo
3. José Real
4. José Valero
5. Bixiang Wang
6. Linfang Liu
7. Xiaoying Han
8. María J. Garrido-Atienza

Citations in the corpus

• Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms (2015, background): “The following result allows to compare two attractors for a process under appropriate assumptions (see [19]).”