Polyhedral flames

David O. Olagunju*, Bernard J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


A diffusional-thermal model for a premixed burner flame is considered. Bifurcations from a stationary planar flame when a double eigenvalue is split into two closely spaced simple eigenvalues are examined. This analysis shows successive bifurcations from the stationary planar flame to a stationary nonplanar axisymmetric flame, then to a stationary nonplanar n-faced polyhedral flame, and finally to a time-periodic (i.e., rotating or standing wave) polyhedral flame.

Original languageEnglish (US)
Pages (from-to)73-89
Number of pages17
JournalSIAM Journal on Applied Mathematics
Issue number1
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Applied Mathematics


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