Some mathematical aspects of flame chaos and flame multiplicity
type: Item
instance of: scholarly article
title: Some mathematical aspects of flame chaos and flame multiplicity
zbMATH Open document ID: 0616.35078
DOI: 10.1016/0167-2789(86)90099-0
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: This paper reviews some recent mathematical results concerning the low, finite-dimensional behaviour of the Kuramoto-Sivashinsky equations describing thermal-diffusive flame front instabilities. It is shown how these partial differential equations are equivalent to a finite dynamical system. An introduction is also provided to the study of so-called multiplicity phenomena in flames induced by the chemical kinetics of the system.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 80A30
zbMATH DE Number: 3998379
zbMATH Keywords: finite-dimensional behaviour
zbMATH Keywords: Kuramoto-Sivashinsky equations
zbMATH Keywords: thermal- diffusive flame front instabilities
zbMATH Keywords: finite dynamical system
zbMATH Keywords: multiplicity phenomena
zbMATH Keywords: chemical kinetics
author: Basil Nicolaenko
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90099-0
OpenAlex ID: W2037409413
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description: scientific article; zbMATH DE number 3998379