Our aim in this article is to give a construction of exponential attractors that are continuous
under perturbations of the underlying semigroup. We note that the continuity is obtained …

We first present some sufficient conditions for the existence and the construction of a
pullback exponential attractor for the continuous process (non-autonomous dynamical …

The main objective of this paper is to obtain estimations of Hausdorff dimension as well as
fractal dimension of global attractors and pullback attractors for both autonomous and …

We investigate the long-term behavior, as a certain regularization parameter vanishes, of the
three-dimensional Navier–Stokes–Voigt model of a viscoelastic incompressible fluid. We …

There is an extensive literature in the form of papers (but no books) on lattice dynamical
systems. The book focuses on dissipative lattice dynamical systems and their attractors of …

Abstract In Abdallah (2008, 2009)[2],[3], we have investigated the existence of exponential
attractors for first and second order autonomous lattice dynamical systems. Within this work …

We first present some sufficient conditions for the existence of exponential attractors for
locally coupled lattice dynamical systems in weighted spaces of infinite sequences. Then we …

This book introduces the class of dynamical systems called semiflows, which includes
systems defined or modeled by certain types of differential evolution equations (DEEs). It …

In this article, we give a construction of exponential attractors that is valid for general
translation–compact non–autonomous systems. Since they are generally infinite …

In l2, we investigate the existence of an exponential attractor for the solution semigroup of a
first-order lattice dynamical system acting on a closed bounded positively invariant set which …