Exponential attractors for a class of evolution equations by a decomposition method

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 328, Issue 2, 1999, Pages 145-150

  Miranville, Alain ^a  

^a UNIVERSITÉ DE POITIERS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032615505     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80153-0     Document Type: Article

References (8)

1. [1] Babin A.V., Nicolaenko B., Exponential attractors of reaction-diffusion systems in an unbounded domain, J. Dyn. Differ. Eq. 7 (4) (1995) 567-590.
2. [2] Cahn J.W., Hilliard J.E., Free energy of a nonuniform system I. Interfacial free energy, J. Chem. Phys. 2 (1958) 258-267.
3. [3] Eden A., Foias C., Nicolaenko B., Temam R., Exponential altractors for dissipative evolution equations, Research in Appl. Math., Masson, 1994.
4. [4] Galusinski C., Thèse, Université Bordeaux-I, 1996.
5. [5] Gurtin M., Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance, Physica D 92 (1996) 178-192.
6. [6] Ladyzhenskaya O.A., On the finitness of the dimension of bounded invariant sets for the Navier-Stokes equations and other related dissipative systems, J. Soviet. Math. 28 (5) (1985) 714-725.
7. [7] Miranville A., Piétrus A., Rakotoson J.-M., Dynamical aspect of a generalized Cahn-Hilliard equation based on a microforce balance, Asymp. Anal. 16 (1998) 315-345.
8. [8] Temam R., Infinite dimensional dynamical systems in mechanics and physics, 2nd ed., Springer-Verlag, New York, 1997.