Perturbed bifurcation phenomenon in a diffusion flame problem
type: Item
instance of: scholarly article
title: Perturbed bifurcation phenomenon in a diffusion flame problem
zbMATH Open document ID: 0671.65069
DOI: 10.1016/0168-9274(89)90037-8
author: J. F. Rameau
author: Claudine Schmidt-Lainé
published in: Applied Numerical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: A continuation technique is proposed for the numerical solution of a nonlinear two-point boundary value problem arising in the mathematical modelling of a diffusion flame process in a finite length chamber. Both theoretical results (existence and regularity of solutions, asymptotics, stability, etc.) and numerical consideration of the problem are presented. Concrete S-shaped temperature profiles are considered as an illustration of the obtained results.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 4098655
zbMATH Keywords: perturbed bifurcation
zbMATH Keywords: continuation method
zbMATH Keywords: diffusion flame process
zbMATH Keywords: existence
zbMATH Keywords: regularity
zbMATH Keywords: asymptotics
zbMATH Keywords: stability
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
full work available at URL: 0168-9274(89)90037-8
OpenAlex ID: W1991522146
cites work: On the Birth of Isolas
cites work: Q3703206
cites work: Geometrically Isolated Nonisolated Solutions and Their Approximation
cites work: The Asymptotic Derivation of Isola and S Responses for Chambered Diffusion Flames
cites work: Solution Fields of Nonlinear Equations and Continuation Methods
cites work: Solution of Troesch's two-point boundary value problem by a combination of techniques
cites work: Calculation of extinction limits for premixed laminar flames in a stagnation point flow
cites work: Q3908427
cites work: Q3902408
description: scientific article; zbMATH DE number 4098655