WIAS Preprint No. 1115, (2006)

A nonlocal phase-field model with nonconstant specific heat



Authors

  • Krejčí, Pavel
    ORCID: 0000-0002-7579-6002
  • Rocca, Elisabetta
    ORCID: 0000-0002-9930-907X
  • Sprekels, Jürgen
    ORCID: juergen.sprekels@wias-berlin.de

2010 Mathematics Subject Classification

  • 80A22 35K50 35B50 35B65 45J05 45K05

Keywords

  • integrodifferential equations, nonlocal models, phase transitions

DOI

10.20347/WIAS.PREPRINT.1115

Abstract

We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a strong 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.

Appeared in

  • Interfaces Free Bound., 9 (2007) pp. 285--306.

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