Free Access
Issue
ESAIM: M2AN
Volume 23, Number 3, 1989
Attractors, Inertial Manifolds and their Approximation. Proceedings of the Marseille-Luminy... 1987
Page(s) 541 - 561
DOI https://doi.org/10.1051/m2an/1989230305411
Published online 31 January 2017
  1. [CFNT1] P. CONSTANTIN, C. FOIAS, B. NICOLAENKO and R. TEMAM, Intergral Manifolds and Inertial Manifolds for dissipative partial differential equations, Springer-Verlag, New York, AMS vol. 70, 1988. [MR: 966192] [Zbl: 0683.58002]
  2. [CFNT2] P. CONSTANTIN, C. FOIAS, B. NICOLAENKO and R. TEMAM, Spectral Barriers and Inertial Manifolds for dissiparite partial differential equations, Preprint 8802, The Institute for Applied Mathematics and Scientific Computing, Bloomington, 1988. [Zbl: 0701.35024]
  3. [FMT] C. FOIAS, O. MANLEY and R. TEMAM, Sur l'interaction des petits et grands tourbillons dans les écoulements turbulents, C. R. Acad. Sc. Paris, Serie I, 305, 1987, 497-500. [MR: 916319] [Zbl: 0624.76072]
  4. and Modelling of the interaction of small and large eddies in two-dimensional turbulent flows, Math. Mod. and Num. Anal. (M2AN), Math. Mod. and Num. Anal. (M2AN), 22, 1988, pp. 93-114. [EuDML: 193526] [MR: 934703] [Zbl: 0663.76054]
  5. [FNST] C. FOIAS, B. NICOLAENKO, G. SELL and R. TEMAM, Inertial Manifolds for the Kuramoto Sivashinsky equation and an estimate of their lowest dimension, J. Math. Pures Appl., 64, 1988, pp. 197-226. [MR: 964170] [Zbl: 0694.35028]
  6. [FST] C. FOIAS, G. R. SELL and R. TEMAM, Inertial Manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 1988, pp 309-353. [MR: 943945] [Zbl: 0643.58004]
  7. [FST1] C. FOIAS, G. SELL and E. TITI, Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations, The Institute for Applied Mathematics and Scientific Computing, Bloomington, Preprint 8805. [MR: 1010966] [Zbl: 0692.35053]
  8. [M1] M. MARION, Approximate inertial manifolds for reaction-diffusion equations in high space dimension, Dynamics and Diff. Equ., to appear. [MR: 1010967] [Zbl: 0702.35127]
  9. [M2] M. MARION, in this volume.
  10. [MpS] J. MALLET-PARET and G. R. SELL, Inertial manifolds for reaction-diffusion equations in higher space dimension, J. Amer. Math. Soc., 1, 1988, pp. 805-866. [MR: 943276] [Zbl: 0674.35049]
  11. [MT] M. MARION and R. TEMAM, Nonlinear Galerkin methods, SIAM J. of Num. Analysis., 26, 1989. [MR: 1014878] [Zbl: 0683.65083]
  12. [R] C. ROSIER, Thesis Universite Paris-Sud, Orsay, 1989.
  13. [T1] R. TEMAM, Navier-Stokes Equations, 3rd revised edition, North-Holland, Amsterdam, 1984. [MR: 769654]
  14. [T2] R. TEMAM, Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM-CBMS, Philadelphia, 1984. [MR: 764933] [Zbl: 0833.35110]
  15. [T3] R. TEMAM, Infinite dimensional dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, AMS Vol. 68, 1988. [MR: 953967] [Zbl: 0662.35001]
  16. [T4] R. TEMAM, Variétés inertielles approximatives pour les équations de Navier-Stokes bidimensionnelles, C. R. Acad. Sci. Paris, 306, Serie II, 1988, pp 399-402. [MR: 979153] [Zbl: 0638.76035]
  17. [T1] E. S. TITI, Une variété approximante de l'attracteur universel des équations de Navier-Stokes non linéaires de dimension finie, C. R. Acad. Sc. Paris, 307, Serie I, 1988, pp. 383-385 [MR: 965803] [Zbl: 0683.35073]
  18. and, On approximate inertial manifolds to the 2D-Navier-Stokes equations MSI Preprint n° 88-119.

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