Exponential attractors for a partially dissipative reaction system

Article type: Research Article

Authors: Fabrie, P.^; | Galusinski, C.

Affiliations: Laboratoire de Mathématiques Appliquées de Bordeaux, Université Bordeaux I, 33405 Talence, France, LEPT-ENSAM, URA n°873 | Laboratoire de Mathématiques Appliquées de Bordeaux, Université Bordeaux I, 33405 Talence, France

Note: [] Correspondence to: P. Fabrie, Laboratoire de Mathématiques Appliquées de Bordeaux, Université Bordeaux I, 33405 Talence, France.

Abstract: After having established the existence of smooth absorbing sets, thanks to suitable a priori estimates, we obtain for a class of partially dissipative reaction systems a property known as squeezing property. This last leads to the existence of exponential attractors for which the fractal dimension is finite. Some examples of systems, borrowed from biology or chemistry, are given.

DOI: 10.3233/ASY-1996-12403

Journal: Asymptotic Analysis, vol. 12, no. 4, pp. 329-354, 1996