Exponential attractors for a nonlinear reaction-diffusion system in ℝ3;Attracteurs exponentiels pour un systeme de reaction-diffusion dans ℝ3

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

Volumn 330, Issue 8, 2000, Pages 713-718

  Efendiev, Messoud ^a   Miranville, Alain ^b   Zelik, Sergey ^c  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

^b UNIVERSITÉ DE POITIERS   (France)

^c INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034654792     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00259-7     Document Type: Article

References (7)

1. Babin A., Nicolaenko B., Exponential attractors of reaction-diffusion systems in an unbounded domain, J. Dynam. Differ. Eq. 7 (4) (1995) 567-590.
2. Chepyzhov V.V., Vishik M.I., Attractors of nonautonomous dynamical systems and their dimension, J. Math. Pures Appl. 73 (1994) 279-333.
3. Eden A., Foias C., Nicolaenko B., Temam R., Exponential attractors for dissipative evolution equations, Research in Applied Mathematics, Vol. 37, Wiley, New York, 1994.
4. n with a strong nonlinearity, Disc. Cont. Dynam. Syst. 5 (2) (1999) 399-424.
5. Efendiev M., Miranville A. and Zelik S., (in preparation).
6. Efendiev M., Zelik S., The attractor for a nonlinear reaction-diffusion system in an unbounded domain, (submitted to J. Reine Angew. Math.).
7. Zelik S., The Attractor for A Nonlinear Reaction-Diffusion System with A Supercritical Nonlinearity and Its Dimension, (in Preparation).