Hyperbolic phase-field dynamics with memory

Maurizio Grasselli, Horacio G. Rotstein

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We consider a non-conserved phase-field system which consists of two nonlinearly coupled hyperbolic integrodifferential equations. This model is derived from two basic assumptions: the heat flux law is of Gurtin-Pipkin type and the response of the order parameter to the variation of the free energy functional is delayed. These hypotheses might be a reasonable attempt to describe, for instance, the melt of He4 crystals. A suitable initial and boundary value problem is then associated with the system and its well-posedness is analyzed in detail.

Original languageEnglish (US)
Pages (from-to)205-230
Number of pages26
JournalJournal of Mathematical Analysis and Applications
Volume261
Issue number1
DOIs
StatePublished - Sep 1 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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