The classical Stefan model is a free boundary problem that represents thermal processes in
phase transitions just by accounting for heat-diffusion and exchange of latent heat. The …

A phase-field system with memory which describes the evolution of both the temperature
variation ϑ and the phase variable χ is considered. This thermodynamically consistent …

A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR
INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACE Page 1 …

In this paper we investigate an abstract inverse problem that can be applied to the evolution
equation given suitable initial-boundary conditions. Here F is a given function and in the …

A phase-field model based on the Gurtin-Pipkin heat flux law is considered. This model
consists in a Volterra integrodifferential equation of hyperbolic type coupled with a nonlinear …

Abstract A Cahn–Hilliard–Allen–Cahn phase-field model coupled with a heat transfer
equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating …

A thermodynamically consistent phase-field model with memory, based on the linearized
version of the Gurtin-Pipkin heat conduction law, is considered. The formulation of an initial …

We introduce a thermomechanical model describing dissipative phase transitions with
thermal memory in terms of the entropy balance and the principle of virtual power written for …

This note deals with the initial value problem for the abstract nonlinear nonlocal equation
(\mathcalAu)'+(\mathcalBu)∋f, where \mathcalA is a possibly degenerate maximal …

\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 …