Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

Nonautonomous dynamical systems provide a mathematical framework for temporally
changing phenomena, where the law of evolution varies in time due to seasonal …

This survey is dedicated to the 100th anniversary of Mark Iosifovich Vishik and is based on a
number of mini-courses taught by the author at University of Surrey (UK) and Lanzhou …

We consider the dynamical behavior of the nonclassical diffusion equation with critical
nonlinearity for both autonomous and nonautonomous cases. For the autonomous case, we …

Our aim in this paper is to study the Cahn-Hilliard equation with singular potentials and
dynamic boundary conditions. In particular, we prove, owing to proper approximations of the …

PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH
SPACES: THEORETICAL RESULTS 1. Introduction The study of the l Page 1 PULLBACK …

Our aim in this article is to study the asymptotic behavior, in terms of finite-dimensional
attractors, of the Cahn-Hilliard-Oono equation. This equation differs from the usual Cahn …

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

A family of compact and positively invariant sets with uniformly bounded fractal dimension
which at a uniform exponential rate pullback attract bounded subsets of the phase space …