Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion

Marc Garbey; Hans G. Kaper; Gary K. Leaf; Bernard J. Matkowsky

doi:10.1137/0152021

Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion

Marc Garbey, Hans G. Kaper, Gary K. Leaf, Bernard J. Matkowsky

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This article is concerned with the structure and stability properties of a combustion front propagating in the axial direction along the outer surface of a cylindrical solid fuel element. A nonlinear analysis is given that explains the occurrence of spinning and standing wave patterns as bifurcations from a uniformly propagating plane circular front. Particular attention is given to a stability transfer mechanism between standing and spinning waves by means of quasi-periodic waves.

Original language	English (US)
Pages (from-to)	384-395
Number of pages	12
Journal	SIAM Journal on Applied Mathematics
Volume	52
Issue number	2
DOIs	https://doi.org/10.1137/0152021
State	Published - Jan 1 1992

ASJC Scopus subject areas

Applied Mathematics

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title = "Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion",

abstract = "This article is concerned with the structure and stability properties of a combustion front propagating in the axial direction along the outer surface of a cylindrical solid fuel element. A nonlinear analysis is given that explains the occurrence of spinning and standing wave patterns as bifurcations from a uniformly propagating plane circular front. Particular attention is given to a stability transfer mechanism between standing and spinning waves by means of quasi-periodic waves.",

author = "Marc Garbey and Kaper, \{Hans G.\} and Leaf, \{Gary K.\} and Matkowsky, \{Bernard J.\}",

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AU - Garbey, Marc

AU - Kaper, Hans G.

AU - Leaf, Gary K.

AU - Matkowsky, Bernard J.

PY - 1992/1/1

Y1 - 1992/1/1

N2 - This article is concerned with the structure and stability properties of a combustion front propagating in the axial direction along the outer surface of a cylindrical solid fuel element. A nonlinear analysis is given that explains the occurrence of spinning and standing wave patterns as bifurcations from a uniformly propagating plane circular front. Particular attention is given to a stability transfer mechanism between standing and spinning waves by means of quasi-periodic waves.

AB - This article is concerned with the structure and stability properties of a combustion front propagating in the axial direction along the outer surface of a cylindrical solid fuel element. A nonlinear analysis is given that explains the occurrence of spinning and standing wave patterns as bifurcations from a uniformly propagating plane circular front. Particular attention is given to a stability transfer mechanism between standing and spinning waves by means of quasi-periodic waves.

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JO - SIAM Journal on Applied Mathematics

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Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion

Abstract

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