Interfaces and Free Boundaries

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Volume 9, Issue 2, 2007, pp. 285–306
DOI: 10.4171/IFB/165

Published online: 2007-06-30

A nonlocal phase-field model with nonconstant specific heat

Pavel Krejcí[1], Elisabetta Rocca[2] and Jürgen Sprekels[3]

(1) Academy of Sciences, Praha, Czech Republic
(2) Università degli Studi di Milano, Italy
(3) Angewandte Analysis und Stochastik, Berlin, Germany

We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a solution to an integrodifferential model for nonisothermal phase transitions under nonhomogeneous mixed boundary conditions. The specific heat is allowed to depend on the order parameter, and the convex component of the free energy may or may not be singular.

Keywords: Phase transitions, nonlocal models, integrodifferential equations

Krejcí Pavel, Rocca Elisabetta, Sprekels Jürgen: A nonlocal phase-field model with nonconstant specific heat. Interfaces Free Bound. 9 (2007), 285-306. doi: 10.4171/IFB/165