no. 3
Time-discretization and inertial manifolds
ESAIM: Modélisation mathématique et analyse numérique, Tome 23 (1989) no. 3, pp. 395-404. 
@article{M2AN_1989__23_3_395_0,
     author = {Demengel, F. and Ghidaglia, J. M.},
     title = {Time-discretization and inertial manifolds},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {395--404},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {23},
     number = {3},
     year = {1989},
     mrnumber = {1014481},
     zbl = {0682.65076},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1989__23_3_395_0/}
}
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Demengel, F.; Ghidaglia, J. M. Time-discretization and inertial manifolds. ESAIM: Modélisation mathématique et analyse numérique, Tome 23 (1989) no. 3, pp. 395-404. http://www.numdam.org/item/M2AN_1989__23_3_395_0/

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[2] F. Demengel and J. M. Ghidaglia, Construction of inertial manifolds via the Lyapunov-Perron method, Compte rendu du Groupe de travail sur les variétés inertielles, Orsay, to appear.

[3] C. Foias, G. Sell and R. Temam, Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73 (1988) 309-353. | MR | Zbl

[4] M. Luskin and G. R. Sell, Approximation théories for inertial manifolds, M2AN, vol. 23 (1983) n° 3, 445-461. | EuDML | Numdam | MR | Zbl

[5] R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physies, Springer, New-York, 1988. | MR | Zbl

[6] J. Hale, Asymptotic Behavior of Dissipative Systems, Mathematical Surveys and Monographs n° 25, A M.S., Providence, 1988. | MR | Zbl