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Original Articles

On the finite dimensionality of random attractorsFootnote1

Pages 473-491 | Published online: 03 Apr 2007

References

  • Babin , A. and Vishik , M.I. 1985 . Attractors of Navier-Stokes systems and of parabolic equations and estimates for their dimensions . J. Soviet Math , 28 ( 5 ) : 619 – 627 .
  • Crauel , H. and Flandoli , F. 1994 . Attractors for random dynamical systems . Prob. Theory and Related Fields , 10 ( 5 ) : 365 – 393 .
  • Crauel H. Flandoli F. Hausdorff dimension of invariant sets for random dynamical systems Preprint 1994
  • Crauel , H. , Debussche , A. and Flandoli , F. 1995 . Random attractors , de I'Université d'Orsay . Preprint
  • Da Prato and Debussche , G. 1994 . The stochastic Cahn-Hilliard equation , Pisa : Scuola Normale Superiore di . preprint, To appear in Nonlinear Analysis T.M.A
  • Foias , C. and Temam , R. 1979 . Some analytic and geometrical properties of the solutions of Navier-Stokes equations . J. Math. Pures Appl , 58 : 339 – 368 .
  • Hale , J.K. 1988 . Asynlptotic behaviour of dissipative dynamical systems, Mathernatical Surveys and Monographs , Vol. 25 , Providence : AMS .
  • Ladyzhenskaya , O.A. 1985 . on the finitness of the dimension of bounded invariant sets for the Navier-Stokes equations and other related dissipative systems . J. Soviet Math , 28 ( 5 ) : 714 – 725 .
  • Marion , M. 1987 . Attractors for reaction-diffusion equations ; Existence and estimate of their dimension . Appl. Anal. , 25 ( 5 ) : 101 – 147 .
  • Temam , R. 1988 . Infinite dimensional dynamical systems in mechanics and physics , New-York : Springer-Verlag .

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