Induced trajectories and approximate inertial manifolds
Temam, Roger
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 23 (1989), p. 541-561 / Harvested from Numdam
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Publié le : 1989-01-01
@article{M2AN_1989__23_3_541_0,
     author = {Temam, Roger},
     title = {Induced trajectories and approximate inertial manifolds},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {23},
     year = {1989},
     pages = {541-561},
     mrnumber = {1014491},
     zbl = {0688.58036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1989__23_3_541_0}
}

Temam, Roger. Induced trajectories and approximate inertial manifolds. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 23 (1989) pp. 541-561. http://gdmltest.u-ga.fr/item/M2AN_1989__23_3_541_0/

[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

[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

[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

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. | Numdam | MR 934703 | Zbl 0663.76054

[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

[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

[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

[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

[M2] M. Marion, in this volume.

[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

[MT] M. Marion and R. Temam, Nonlinear Galerkin methods, SIAM J. of Num. Analysis., 26, 1989. | MR 1014878 | Zbl 0683.65083

[R] C. Rosier, Thesis Universite Paris-Sud, Orsay, 1989.

[T1] R. Temam, Navier-Stokes Equations, 3rd revised edition, North-Holland, Amsterdam, 1984. | MR 769654

[T2] R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM-CBMS, Philadelphia, 1984. | MR 764933 | Zbl 0833.35110

[T3] R. Temam, Infinite dimensional dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, AMS Vol. 68, 1988. | MR 953967 | Zbl 0662.35001

[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

[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

and, On approximate inertial manifolds to the 2D-Navier-Stokes equations MSI Preprint n° 88-119.