Some remarks on stability for a phase-field model with memory

M. Grinfeld, A. Novick-Cohen

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The phase field system with memory can be viewed as a phenomenological extension of the classical phase equations in which memory effects have been taken into account in both fields. Such memory effects could be important for example during phase transition in polymer melts in the proximity of the glass transition temperature where configurational degrees of freedom in the polymer melt constitute slowly relaxing "internal modes" which are di±cult to model explicitly. They should be relevant in particular to glass-liquid-glass transitions where re-entrance effects have been recently reported [27]. We note that in numerical studies based on sharp interface equations obtained from (PFM), grains have been seen to rotate as they shrink [35, 36]. While further modelling and numerical efforts are now being undertaken, the present manuscript is devoted to strengthening the analytical underpinnings of the model.
LanguageEnglish
Pages1089-1117
Number of pages28
JournalDiscrete and Continuous Dynamical Systems - Series A
Volume15
Issue number4
Publication statusPublished - 2006

Fingerprint

Polymer Melts
Phase Field Model
Memory Effect
Glass Transition
Polymer melts
Phase-field Systems
Data storage equipment
Strengthening
Proximity
Numerical Study
Phase Transition
Degree of freedom
Liquid
Internal
Glass transition
Computer systems
Phase transitions
Modeling
Model
Glass

Keywords

  • field system
  • phase field model
  • memory
  • dynamic systems

Cite this

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Some remarks on stability for a phase-field model with memory. / Grinfeld, M.; Novick-Cohen, A.

In: Discrete and Continuous Dynamical Systems - Series A, Vol. 15, No. 4, 2006, p. 1089-1117.

Research output: Contribution to journalArticle

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AU - Novick-Cohen, A.

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