Address. Equipe Architures des Systemes, Universite Hassan II Ain Chock, Ensem, BP. 8118, Oasis Casablanca, Morrocco
Abstract. This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
AMSclassification. 35K55, 35K57, 35K65, 35B40.
Keywords. Doubly nonlinear parabolic systems, existence of solutions, global and exponential attractor, fractal dimension and l-trajectories.