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 …

This review paper treats the dynamics of non-autonomous dynamical systems. To study the
forwards asymptotic behaviour of a non-autonomous differential equation we need to …

Autonomous systems depend only on the elapsed time, so their attractors and limit sets exist
in current time. Similarly, the pullback limit defines a component set of a nonautonomous …

In this work we continue the analysis of the asymptotic dynamics of reaction–diffusion
problems in a dumbbell domain started in [JM Arrieta, AN Carvalho, G. Lozada-Cruz …

In this article we introduce the concept of a gradient-like nonlinear semigroup as an
intermediate concept between a gradient nonlinear semigroup (those possessing a …

Can today's global climate model ensembles characterize the 21st century climate in their
own 'model-worlds'? This question is at the heart of how we design and interpret climate …

The paper investigates the attractors and their robustness for a perturbed non-autonomous
extensible beam equation with nonlinear nonlocal dam**. We prove that the related …

In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa
(2009 J. Diff. Eqns 246 2646–68)) are gradient semigroups (possess a Lyapunov function) …

In this paper, we are concerned with the existence and stability of pullback exponential
attractors for a non-autonomous dynamical system.(i) We propose two new criteria for the …

The existence and uniqueness of a variational solution satisfying energy equality is proved
for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet …