Nonlinear dynamics of frontal polymerization with autoacceleration

D. M.G. Comissiong, L. K. Gross, V. A. Volpert*

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

A free-boundary model is used to describe frontal polymerization. Autoacceleration effects, such as the gel effect, are accounted for in the formulation. Weakly nonlinear analysis is applied to investigate pulsating instabilities in two dimensions. The analysis produces a pair of Landau equations that describe the evolution of the linearly unstable modes. Autoacceleration influences the linear stability of the system as well as the onset and stability of spinning and standing modes.

Original languageEnglish (US)
Pages (from-to)59-78
Number of pages20
JournalJournal of Engineering Mathematics
Volume53
Issue number1
DOIs
StatePublished - Sep 1 2005

Keywords

  • Frontal polymerization
  • Landau equations
  • Nonlinear stability

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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