Publisher Summary This chapter focuses on the Cahn–Hilliard equation. In the context of the
Cahn–Hilliard equation, the two components could refer, for example, to a system with two …

In this paper we establish a Morse decomposition of the stationary solutions of the one-
dimensional viscous Cahn-Hilliard equation by explicit energy calculations. Strong non …

A singular parabolic system describing the thermal diffusion in a substance possibly subject
to a phase transition is introduced. The physical process is described by the variables ϑ …

Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres
of study. The stabilization and control of such systems, which are the focus of this book, are …

On the conserved phase-field model - ScienceDirect Skip to main contentSkip to article Elsevier
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In this article, we construct robust (ie lower and upper semicontinuous) exponential
attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates …

In this paper we study a distributed control problem for a phase-field system of conserved
type with a possibly singular potential. We mainly handle two cases: the case of a viscous …

This paper is concerned with a conserved phase {eld model with memory. We include
memory by replacing the standard Fourier heat law with a constitutive assumption of Gurtin …

\documentclass[reqno]{amsart} \usepackage{hyperref} \AtBeginDocument{{\noindent\small \emph{Electronic
Journal of Differential Equations}, Vol. 2008(2008), No. 23, pp. 1--16.\newline ISSN: 1072-6691 …

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF A CONSERVED PHASE-FIELD SYSTEM WITH
MEMORY Page 1 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS Volume 15 …