Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains;Un attracteur pullback pour un système de Navier-Stokes bidimensionel non autonome dans un domaine non borné

Comptes Rendus Mathematique

Volumn 342, Issue 4, 2006, Pages 263-268

  Caraballo, Tomás ^a   Łukaszewicz, Grzegorz ^b   Real, José ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31344460115     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.12.015     Document Type: Article

References (14)

1. J.M. Ball Global attractors for damped semilinear wave equations Discrete Contin. Dynam. Systems 10 1-2 2004 31-52
2. T. Caraballo J.A. Langa On the upper semicontinuity of cocycle attractors for nonautonomous and random dynamical systems Dynam. Contin. Discrete Impuls. Systems A 10 2003 491-514
3. T. Caraballo, G. Łukaszewicz, J. Real, Pullback attractors for asymptotically compact non-autonomous dynamical systems, manuscript, Technical Report no. 141 of the Institute of Applied Mathematics and Mechanics, University of Warsaw
4. V.V. Chepyzhov M.I. Vishik Attractors for Equations of Mathematical Physics Colloq. Publ. vol. 49 2002 American Mathematical Society Providence, RI
5. H. Crauel A. Debussche F. Flandoli Random attractors J. Dynam. Differential Equations 9 2 1995 307-341
6. P.E. Kloeden B. Schmalfuss Asymptotic behaviour of nonautonomous difference inclusions Systems Control Lett. 33 4 1998 275-280
7. J.A. Langa B. Schmalfuss Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations Stochastics and Dynamics 4 3 2004 385-404
8. J.L. Lions Quelques méthodes de résolution des problèmes aux limites non linéaires 1969 Dunod, Gauthier-Villars Paris
9. G. Łukaszewicz W. Sadowski Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains Z. Angew. Math. Phys. 55 2004 1-11
10. I. Moise R. Rosa X. Wang Attractors for noncompact nonautonomous systems via energy equations Discrete Contin. Dynam. Systems 10 1 & 2 2004 473-496
11. R. Rosa The global attractor for the 2D Navier-Stokes flow on some unbounded domains Nonlinear Anal. 32 1 1998 71-85
12. B. Schmalfuss Attractors for non-autonomous dynamical systems B. Fiedler K. Gröger J. Sprekels Proc. Equadiff 99, Berlin 2000 World Scientific 684-689
13. G.R. Sell Non-autonomous differential equations and topological dynamics, I, II Trans. Amer. Math. Soc. 127 1967 241-262
14. R. Temam Navier-Stokes Equations, Theory and Numerical Analysis second ed. 1979 North-Holland Amsterdam