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

Abstract CONTENTS Introduction § 1. Principal examples § 2. Global attractor. Existence
theorems § 3. Structure of a global attractor. Regularity conditions § 4. The finite …

We consider a model of nonisothermal phase transitions taking place in a bounded spatial
region. The order parameter ψ is governed by an Allen-Cahn type equation which is …

We consider a nonlinear parabolic system which governs the evolution of the (relative)
temperature ϑ and of an order parameter χ. This system describes phase transition …

In this paper we define and study multivalued dynamical processes in Hausdorff topological
spaces. Existence theorems for attractors of multivalued processes are proved, their …

We consider a model of non-isothermal phase transition takingplace in a confined container.
The order parameter φ is governed by a Cahn-Hilliard type equation which is coupled with a …

We consider a model of non-isothermal phase separation taking place in a confined
container. The order parameter ϕ is governed by a viscous or non-viscous Cahn–Hilliard …

We consider phase-field systems of Caginalp type on a three-dimensional bounded domain.
The order parameter fulfills a dynamic boundary condition, while the (relative) temperature is …

This paper is concerned with the asymptotic behavior of global solutions to a parabolic–
hyperbolic coupled system which describes the evolution of the relative temperature θ and …

We consider a phase-field model of Caginalp type whose order parameter φ and (relative)
temperature θ are subject to coupled dynamic boundary conditions. We show that some …