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On a Conserved Penrose-Fife Type System

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Abstract

We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to +∞ are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.

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Authors and Affiliations

  1. Dipartimento di Matematica “F. Casorati”, Universita di Pavia, Via Ferrata 1, 271 00, Pavia, Italy

    Gianni Gilardi

  2. Dipartimento di Matematica Pura ed Applicata, Universita di Padova, Via G. Belzoni 7, 351 31, Padova, Italy

    Andrea Marson

Authors
  1. Gianni Gilardi
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  2. Andrea Marson
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The authors would like to acknowledge financial support from MIUR through COFIN grants and from the IMATI of the CNR, Pavia, Italy.

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Gilardi, G., Marson, A. On a Conserved Penrose-Fife Type System. Appl Math 50, 465–499 (2005). https://doi.org/10.1007/s10492-005-0033-z

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  • DOI: https://doi.org/10.1007/s10492-005-0033-z

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