Dependence of the volume of an equilibrium phase on the temperature in the phase transition problem of continuum mechanics

Research output

Abstract

We study a multi-valued function Q̂(t) associating with the temperature t the volume part of one of the phases of the equilibrium distribution in the phase transition problem of continuum mechanics. We establish the closedness of the graph of this function, the monotone decrease, and the localization of variability zones of its upper and lower envelopes. Bibliography: 6 titles.

Original languageEnglish
Pages (from-to)78-89
Number of pages12
JournalJournal of Mathematical Sciences
Volume154
Issue number1
DOIs
Publication statusPublished - 1 Oct 2008

Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Statistics and Probability

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