Geodesic
Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
ESAIM: Mathematical Modelling and Numerical Analysis , Attractors, Inertial Manifolds and their Approximation. Proceedings of the Marseille-Luminy... 1987, Tome 23 (1989) no. 3, pp. 463-488.

Voir la notice de l'article provenant de la source Numdam

@article{M2AN_1989__23_3_463_0,
     author = {Marion, Martine},
     title = {Approximate inertial manifolds for the pattern formation {Cahn-Hilliard} equation},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {463--488},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {23},
     number = {3},
     year = {1989},
     mrnumber = {1014486},
     zbl = {0724.65122},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_1989__23_3_463_0/}
}
TY  - JOUR
AU  - Marion, Martine
TI  - Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 1989
SP  - 463
EP  - 488
VL  - 23
IS  - 3
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://geodesic.mathdoc.fr/item/M2AN_1989__23_3_463_0/
LA  - en
ID  - M2AN_1989__23_3_463_0
ER  - 
%0 Journal Article
%A Marion, Martine
%T Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 1989
%P 463-488
%V 23
%N 3
%I AFCET - Gauthier-Villars
%C Paris
%U http://geodesic.mathdoc.fr/item/M2AN_1989__23_3_463_0/
%G en
%F M2AN_1989__23_3_463_0
Marion, Martine. Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation. ESAIM: Mathematical Modelling and Numerical Analysis , Attractors, Inertial Manifolds and their Approximation. Proceedings of the Marseille-Luminy... 1987, Tome 23 (1989) no. 3, pp. 463-488. http://geodesic.mathdoc.fr/item/M2AN_1989__23_3_463_0/

[1] J. W. Cahn, Spinodal decomposition, Trans. Met. Soc. of AIME, 248 (1968),166-180.

[2] J. W. Cahn and J. E. Hilliard, Free energy of a non uniform system I. Interfacial free energy, J. Chem. Phys., 28 (1958), 258 267.

[3] P. Constantin, C. Foias, B. Nicolaenko and R. Temam, Integral manifolds and inertial manifolds for dissipative partial differential equations, J. Math. Pures Appl., 67 (1988). | MR

[4] C. Foias, O. Manley and R. Temam, Sur l'interaction des petits et grands tourbillons dans des écoulements turbulents, C. R. Acad. Sci. Paris, Série I, 305 (1987) 495-500. | Zbl | MR

and Modelling of the interaction of small and large eddies in turbulent flows, Math. Mod. and Numer. Anal., 22 (1988) 93-114. | Zbl | mathdoc-id

[5] C. Foias, G. R. Sell and R. Temam, Variétés inertielles des équations différentielles dissipatives, C. R. Acad. Sci. Paris, Série I, 301 (1985) 139-141. | Zbl | MR

and Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73 (1988), 309-353. | Zbl | MR

[6] J. S. Langfr, Theory of spinodal decomposition in alloys, Ann. of Phys., 65 (1971), 53-86.

[7] J. Mallet-Paret and G. R. Sell, to appear.

[8] M. Marion, Approximate inertial manifolds for reaction diffusion equations in high space dimension, J. Dynamics and Differential Equations, 1 (1989). | Zbl | MR

[9] M. Marion and R. Temam, Nonlinear Galerkin methods, SIAM J. Num. Anal., 26 (1989). | Zbl | MR

[10] B. Nicolaenko and B. Scheurer, Low-dimensional behavior of the pattern formation Cahn-Hilliard equation, in Trends in the Theory and Practice of Nonlinear Analysis, V. Lakshmikantham ed., North-Holland, 1985. | Zbl | MR

[11] B. Nicolaenko, B. Scheurer and R. Temam, Some global dynamical properties of a class of pattern formation equations, Comm. Partial Diff. Equ., to appear (see also IMA preprint n° 381, Minneapolis). | Zbl | MR

[12] A. Novick-Cohen and L. A. Segel, Nonlinear aspects of the Cahn-Hilliard equation, Physica D, 10 (1984), 277-298. | MR

[13] R. Temam, Variétés inertielles approximatives pour les équations de Navier-Stokes bidimensionnelles, C. R. Acad. Sci. Paris, Série II, 306 (1988), 399-402. | Zbl | MR

[14] R. Temam, Infinite dimensional dynamical systems in mechanics and physics, Applied Mathematics Series, vol. 68, Springer-Verlag, New York, 1988. | Zbl | MR