@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 - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {23}, year = {1989}, pages = {463-488}, mrnumber = {1014486}, zbl = {0724.65122}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1989__23_3_463_0} }
Marion, Martine. Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 23 (1989) pp. 463-488. http://gdmltest.u-ga.fr/item/M2AN_1989__23_3_463_0/
[1] Spinodal decomposition, Trans. Met. Soc. of AIME, 248 (1968),166-180.
,[2] Free energy of a non uniform system I. Interfacial free energy, J. Chem. Phys., 28 (1958), 258 267.
and ,[3] Integral manifolds and inertial manifolds for dissipative partial differential equations, J. Math. Pures Appl., 67 (1988). | MR 966192
, , and ,[4] Sur l'interaction des petits et grands tourbillons dans des écoulements turbulents, C. R. Acad. Sci. Paris, Série I, 305 (1987) 495-500. | MR 916319 | Zbl 0624.76072
, and ,and Modelling of the interaction of small and large eddies in turbulent flows, Math. Mod. and Numer. Anal., 22 (1988) 93-114. | Numdam | Zbl 0663.76054
[5] Variétés inertielles des équations différentielles dissipatives, C. R. Acad. Sci. Paris, Série I, 301 (1985) 139-141. | MR 801946 | Zbl 0591.35062
, and ,and Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73 (1988), 309-353. | MR 943945 | Zbl 0643.58004
[6] Theory of spinodal decomposition in alloys, Ann. of Phys., 65 (1971), 53-86.
,[7]
and , to appear.[8] Approximate inertial manifolds for reaction diffusion equations in high space dimension, J. Dynamics and Differential Equations, 1 (1989). | MR 1010967 | Zbl 0702.35127
,[9] Nonlinear Galerkin methods, SIAM J. Num. Anal., 26 (1989). | MR 1014878 | Zbl 0683.65083
and ,[10] 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. | MR 817507 | Zbl 0581.35041
and ,[11] Some global dynamical properties of a class of pattern formation equations, Comm. Partial Diff. Equ., to appear (see also IMA preprint n° 381, Minneapolis). | MR 976973 | Zbl 0691.35019
, and ,[12] Nonlinear aspects of the Cahn-Hilliard equation, Physica D, 10 (1984), 277-298. | MR 763473
and ,[13] Variétés inertielles approximatives pour les équations de Navier-Stokes bidimensionnelles, C. R. Acad. Sci. Paris, Série II, 306 (1988), 399-402. | MR 979153 | Zbl 0638.76035
,[14] Infinite dimensional dynamical systems in mechanics and physics, Applied Mathematics Series, vol. 68, Springer-Verlag, New York, 1988. | MR 953967 | Zbl 0662.35001
,