WIAS Preprint No. 1042, (2005)

Existence and asymptotic analysis of a phase field model for supercooling


Authors

  • Klein, Olaf
    ORCID: 0000-0002-4142-3603
  • Luterotti, Fabio
  • Rossi, Riccarda
    ORCID: 0000-0002-7808-0261

2010 Mathematics Subject Classification

  • 80A22 36K60 35R35

Keywords

  • Phase field system, supercooling, Young measures

DOI

10.20347/WIAS.PREPRINT.1042

Abstract

We prove an existence result for an initial-boundary value problem which models a perturbation of a phase transition phenomenon with supercooling effects. When the perturbation parameter goes to 0, an asymptotic analysis is performed. It leads to an existence result for a slight modification of the original problem in the framework of Young measures.

Appeared in

  • Quart. Appl. Math., 64 (2006) pp. 291-319.

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