WIAS Preprint No. 1006, (2005)

Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions


Authors

  • Krejčí, Pavel
    ORCID: 0000-0002-7579-6002
  • Rocca, Elisabetta
    ORCID: 0000-0002-9930-907X
  • Sprekels, Jürgen
    ORCID: 0009-0000-0618-8604

2010 Mathematics Subject Classification

  • 80A22 35K50 45K05 35B50

Keywords

  • integrodifferential heat equation, nonlocal model, Phase transition

DOI

10.20347/WIAS.PREPRINT.1006

Abstract

We propose a model for non-isothermal phase transitions with non-conserved order parameter driven by a spatially nonlocal free energy with respect to both the temperature and the order parameter. The resulting system of equations is shown to be thermodynamically consistent and to admit a strong solution.

Appeared in

  • J. London Math. Soc. (2), 76 (2007) pp. 197-210.

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