On the finite dimensionality of random attractors

Stochastic Analysis and Applications

Volumn 15, Issue 4, 1997, Pages 473-491

  Debussche, A ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031507560     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362999708809490     Document Type: Article

References (10)

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3. H. Crauel, F. Flandoli Hausdorff dimension of invariant sets for random dynamical systems, Preprint, 1994.
4. H. Crauel, A. Debussche, F. Flandoli Random attractors, Preprint de l'Université d'Orsay , 1995.
5. G. Da Prato, A. Debussche The stochastic Cahn-Hilliard equation, preprint, Scuola Normale Superiore di Pisa, 1994. To appear in Nonlinear Analysis T.M.A.
6. C. Foias, R. Temam Some analytic and geometrical properties of the solutions of Navier-Stokes equations, J. Math. Pures Appl., 58, 1979, p. 339-368.
7. J.K. Hale Asymptotic behaviour of dissipative dynamical systems, Mathematical Surveys and Monographs, Vol. 25, AMS, Providence, 1988.
8. O. A. Ladyzhenskaya on the finitness of the dimension of bounded invariant sets for the Navier-Stokes equations and other related dissipative systems J. Soviet Math., 28, no 5, 1985, p. 714-725.
9. M. Marion Attractors for reaction-diffusion equations ; Existence and estimate of their dimension, Appl. Anal., 25, 1987, p. 101-147.
10. R. Temam Infinite dimensional dynamical systems in mechanics and physics, Springer-Verlag, New-York, 1988.