Induced trajectories and approximate inertial manifolds

 Access to full text

 Full (PDF)

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. Zbl0683.58002MR966192
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. Zbl0701.35024
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. Zbl0624.76072MR916319
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. Zbl0663.76054MR934703
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. Zbl0694.35028MR964170
6. [FST] C. FOIAS, G. R. SELL and R. TEMAM, Inertial Manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 1988, pp 309-353. Zbl0643.58004MR943945
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. Zbl0692.35053MR1010966
8. [M1] M. MARION, Approximate inertial manifolds for reaction-diffusion equations in high space dimension, Dynamics and Diff. Equ., to appear. Zbl0702.35127MR1010967
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. Zbl0674.35049MR943276
11. [MT] M. MARION and R. TEMAM, Nonlinear Galerkin methods, SIAM J. of Num. Analysis., 26, 1989. Zbl0683.65083MR1014878
12. [R] C. ROSIER, Thesis Universite Paris-Sud, Orsay, 1989. 
13. [T1] R. TEMAM, Navier-Stokes Equations, 3rd revised edition, North-Holland, Amsterdam, 1984. MR769654
14. [T2] R. TEMAM, Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM-CBMS, Philadelphia, 1984. Zbl0833.35110MR764933
15. [T3] R. TEMAM, Infinite dimensional dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, AMS Vol. 68, 1988. Zbl0662.35001MR953967
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. Zbl0638.76035MR979153
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 Zbl0683.35073MR965803
18. and, On approximate inertial manifolds to the 2D-Navier-Stokes equations MSI Preprint n° 88-119. 

1. Zdeněk Skalák, A continuity property for the inverse of Mañé's projection