M. Aida and A. Yagi, Global Stability of Approximation for Exponential Attractors, Funkcialaj Ekvacioj, vol.47, issue.2, pp.251-276, 2004.
DOI : 10.1619/fesi.47.251

S. Allen and J. Cahn, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing, Acta. Metall, vol.27, pp.1084-1095, 1979.

A. V. Babin and M. I. Vishik, Attractors of evolution equations, of Studies in Mathematics and its Applications, 1992.

T. Cazenave and A. Haraux, Introduction auxprobì emes d'´ evolution semi-linéaires, Mathématiques & Applications, vol.1, 1990.

V. V. Chepyzhov and M. I. Vishik, Attractors for equations of mathematical physics, 2002.
DOI : 10.1090/coll/049

M. , C. Zelati, and F. Tone, Multivalued attractors and their approximation: applications to the Navier-Stokes equations, Numer. Math, vol.122, issue.3, pp.421-441, 2012.

A. Eden, C. Foias, B. Nicolaenko, and R. Temam, Exponential attractors for dissipative evolution equations, RAM: Research in Applied Mathematics, vol.37, 1994.

M. Efendiev and A. Miranville, The dimension of the global attractor for dissipative reaction-diffusion systems, Applied Mathematics Letters, vol.16, issue.3, pp.351-355, 2003.
DOI : 10.1016/S0893-9659(03)80056-3

M. Efendiev, A. Miranville, and S. Zelik, Exponential attractors for a nonlinear reaction-diffusion system in, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.330, issue.8, pp.713-718, 2000.
DOI : 10.1016/S0764-4442(00)00259-7

M. Efendiev, A. Miranville, and S. Zelik, Exponential attractors for a singularly perturbed Cahn-Hilliard system, Mathematische Nachrichten, vol.272, issue.1, pp.11-31, 2004.
DOI : 10.1002/mana.200310186

M. Efendiev and A. Yagi, Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system, Journal of the Mathematical Society of Japan, vol.57, issue.1, pp.167-181, 2005.
DOI : 10.2969/jmsj/1160745820

E. Ezzoug, O. Goubet, and E. Zahrouni, Semi-discrete weakly damped nonlinear 2-D Schrödinger equation, Differential Integral Equations, vol.23, pp.3-4237, 2010.

P. Fabrie, C. Galusinski, and A. Miranville, Uniform inertial sets for damped wave equations, Discrete Contin. Dynam. Systems, vol.6, issue.2, pp.393-418, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00296722

P. Fabrie, C. Galusinski, A. Miranville, and S. Zelik, Uniform exponential attractors for a singularly perturbed damped wave equation, Discrete and Continuous Dynamical Systems, vol.10, issue.1-2, pp.211-238, 2004.
DOI : 10.3934/dcds.2004.10.211
URL : https://hal.archives-ouvertes.fr/hal-00295073

C. Galusinski, Perturbationssingulì eres deprobì emes dissipatifs : ´ etude dynamique via l'existence et la continuité d'attracteurs exponentiels, 1996.

S. Gatti, M. Grasselli, A. Miranville, and V. Pata, A construction of a robust family of exponential attractors, Proc. Amer, pp.117-127, 2006.

D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Classics in Mathematics, 2001.
DOI : 10.1007/978-3-642-61798-0

J. K. Hale, Asymptotic behavior of dissipative systems, Mathematical Surveys and Monographs, vol.25, 1988.
DOI : 10.1090/surv/025

D. Henry, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics, vol.840, 1981.
DOI : 10.1007/BFb0089647

O. Ladyzhenskaya, Attractors for semigroups and evolution equations. Lezioni Lincee, 1991.
DOI : 10.1017/cbo9780511569418

J. Lions, Quelques méthodes de résolution desprobì emes aux limites non linéaires. Dunod, 1969.

M. Marion, Attractors for reaction-diffusion equations: existence and estimate of their dimension, Applicable Analysis, vol.16, issue.1-2, pp.101-147, 1987.
DOI : 10.1016/0025-5564(77)90015-3

A. Miranville and S. Zelik, Attractors for dissipative partial differential equations in bounded and unbounded domains In Handbook of differential equations: evolutionary equations, Handb. Differ. Equ, vol.IV, pp.103-200, 2008.

G. R. Sell and Y. You, Dynamics of evolutionary equations, Applied Mathematical Sciences, vol.143, 2002.
DOI : 10.1007/978-1-4757-5037-9

J. Shen, Convergence of approximate attractors for a fully discrete system for reaction-diffusion equations, Numerical Functional Analysis and Optimization, vol.37, issue.11-12, pp.1213-1234, 1989.
DOI : 10.1007/BF01400311

J. Shen, Long time stability and convergence for fully discrete nonlinear galerkin methods, Applicable Analysis, vol.323, issue.4, pp.201-229, 1990.
DOI : 10.1007/3-540-51048-6_7

A. M. Stuart and A. R. Humphries, Numerical analysis of dynamical systems, Acta Numerica, vol.25, 1996.
DOI : 10.1007/BF01385623

R. Temam, Infinite-dimensional dynamical systems in mechanics and physics, of Applied Mathematical Sciences, 1997.
DOI : 10.1007/978-1-4684-0313-8

X. Wang, Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization, Mathematics of Computation, vol.79, issue.269, pp.259-280, 2010.
DOI : 10.1090/S0025-5718-09-02256-X

X. Wang, Numerical algorithms for stationary statistical properties of dissipative dynamical systems, Discrete and Continuous Dynamical Systems, vol.36, issue.8, pp.4599-4618, 2016.
DOI : 10.3934/dcds.2016.36.4599