Global Solution to the Penrose-Fife Phase Field Model with Special Heat Flux Laws

  • Pierluigi Colli
  • Philippe Laurençot
  • Jürgen Sprekels
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 66)


The phase field model introduced by Penrose and Fife is considered for diffusive phase transitions with non conserved order parameter. Different motivations lead to investigate the case when the heat flux is the gradient of some function of the absolute temperature ϑ behaving like 1/ϑ as ϑ approaches 0 and like -ϑ as ϑ↗ +∞. Uniqueness is proved for the solution of related initial and boundary value problems.


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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Pierluigi Colli
    • 1
  • Philippe Laurençot
    • 2
  • Jürgen Sprekels
    • 3
  1. 1.Dipartimento di Matematica “F. Casorati”Università di PaviaPaviaItaly
  2. 2.Institut Elie Cartan — NancyUniversité de Nancy IVandœuvre les Nancy CedexFrance
  3. 3.Weierstraβ-Institut für Angewandte Analysis und StochastikWIASBerlinGermany

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