Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures

Research output

Abstract

The variational problem on the equilibrium of a two-phase elastic medium is studied for conditions of the Signorini type. The strong convergence of its solutions to single-phase states as the temperature unboundedly increases is proved. A sufficient condition for the existence of phase transition temperatures for one-sided problems is given. A one-dimensional example illustrating the results is presented.

Original languageEnglish
Pages (from-to)270-280
Number of pages11
JournalFunctional Analysis and its Applications
Volume53
Issue number4
DOIs
Publication statusPublished - 1 Oct 2019

Scopus subject areas

  • Analysis
  • Applied Mathematics

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