Free Access
Volume 22, Number 1, 1988
Page(s) 93 - 118
Published online 31 January 2017
  1. H. BRÉZIS and T. GALLOUET, « Nonlinear Schroedinger evolution equation», Nonlinear Analysis Theory Methods and Applications, Vol.4, 1980, p. 677. [MR: 582536] [Zbl: 0451.35023]
  2. C. FOIAS,O. MANLEY and R. TEMAM, « Sur l'interaction des petits et grands tourbillons dans des écoulements turbulents», C.R. Ac. Sc.Paris, 305, Série I, 1987; pp. 497-500. [MR: 916319] [Zbl: 0624.76072]
  3. C. FOIAS,O. MANLEY and R. TEMAM, to appear. [MR: 1205478]
  4. C. FOIAS,O. MANLEY, R. TEMAM and Y. TREVE, « Asymptotic analysis of the Navier-Stokes equations», Physica 6D, 1983, pp. 157-188. [MR: 732571] [Zbl: 0584.35007]
  5. C. FOIAS,B. NICOLAENKO, G. SELL and R. TEMAM, « Variétés inertielles pour l'équation de Kuramoto-Sivashinsky»,C. R. Ac. Sc. Paris, 301, Série I, 1985pp. 285-288 and « Inertial Manifolds for the Kuramoto-Sivashinsky équations and an estimate of their lowest dimension», J. Math. Pure AppL, 1988. [MR: 803219] [Zbl: 0591.35063]
  6. C. FOIAS and G. PRODI, « Sur le comportement global des solutions non stationnaires des équations de Navier-Stokes en dimension 2», Rend. Sem. Mat. Padova, Vol. 39, 1967, pp. 1-34. [EuDML: 107242] [MR: 223716] [Zbl: 0176.54103]
  7. C. FOIAS and R. TEMAM, « Some analytic and geometrie properties of the solutions of the Navier-Stokes equations», J. Math. Pure Appl, Vol.58, 1979, pp. 339-368. [MR: 544257] [Zbl: 0454.35073]
  8. C. FOIAS and R. TEMAM, Finite parameter approximative structures of actual flows», in Nonlinear Problems : Present and Future, A. R. Bishop, D. K. Campbell, B. Nicolaenko (eds.), North Holland, Amsterdam, 1982. [MR: 675639] [Zbl: 0493.76026]
  9. A. N. KOLMOGOROV, C. R. Ac. Sc URSS, Vol.30, 1941, p. 301; Vol. 31, 1941, p. 538; Vol. 32, 1941, p. 16.
  10. R. H. KRAICHNAN, « Inertial ranges in two dimensional turbulence», Phys. Fluids, Vol. 10, 1967, pp. 1417-1423.
  11. G. MÉTIVIER, « Valeurs propres d'opérateurs définis sur la restriction de systèmes variationnels à des sous-espaces», J. Math. Pure Appl., Vol. 57, 1978, pp. 133-156. [MR: 505900] [Zbl: 0328.35029]
  12. R. TEMAM, Navier-Stokes Equations, 3rd Revised Ed., North Holland, Amsterdam, 1984. [Zbl: 0568.35002]
  13. R. TEMAM, Navier-Stokes Equations and Nonlinear Functional Analysis, NSF/CBMS Regional Conferences Series in Appl. Math., SIAM, Philadelphia, 1983. [MR: 764933] [Zbl: 0833.35110]
  14. R. TEMAM, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, 1988. [MR: 953967] [Zbl: 0662.35001]
  15. E. TITI, Article in preparation.
  16. J. H. WELLS and L. R. WILLIAMS, Imbeddings and Extensions in Analysis, Springer-Verlag, Heidelberg, New York [Zbl: 0324.46034]

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