JournalsifbVol. 9, No. 2pp. 285–306

A nonlocal phase-field model with nonconstant specific heat

  • Jürgen Sprekels

    Angewandte Analysis und Stochastik, Berlin, Germany
  • Pavel Krejčí

    Academy of Sciences, Praha, Czech Republic
  • Elisabetta Rocca

    Università degli Studi di Milano, Italy
A nonlocal phase-field model with nonconstant specific heat cover
Download PDF

Abstract

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.

Cite this article

Jürgen Sprekels, Pavel Krejčí, Elisabetta Rocca, A nonlocal phase-field model with nonconstant specific heat. Interfaces Free Bound. 9 (2007), no. 2, pp. 285–306

DOI 10.4171/IFB/165