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 …

RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES | International
Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick …

In this paper we analyze a broad class of abstract doubly nonlinear evolution equations in
Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general …

We investigate a global-in-time variational approach to abstract evolution by means of the
weighted energy-dissipation functionals proposed by Mielke and Ortiz [ESAIM: COCV14 …

We discuss the existence of pullback attractors for multivalued dynamical systems on metric
spaces. Such attractors are shown to exist without any assumptions in terms of continuity of …

This paper is devoted to a modification of the classical Cahn–Hilliard equation proposed by
some physicists. This modification is obtained by adding the second time derivative of the …

We address, in a three-dimensional spatial setting, both the viscous and the standard Cahn–
Hilliard equation with a nonconstant mobility coefficient. As shown in Barrett and Blowey …

We seek to establish qualitative convergence results to a general class of evolution PDEs
described by gradient flows in optimal transportation distances. These qualitative …

In this paper we make a thorough comparison between the theory of global attractors for
multivalued semiflows and the theory of trajectory attractors, two methods which are useful …

In this paper we consider the hyperbolic relaxation of the Cahn–Hilliard equation ruling the
evolution of the relative concentration u of one component of a binary alloy system located in …