Propagation of gaseous flames in the limit of small mass diffusion coefficients

Frédérique Laurent; Marc Massot; Vitaly Volpert

doi:10.1016/S1631-073X(02)02487-1

Propagation of gaseous flames in the limit of small mass diffusion coefficients

Frédérique Laurent, Marc Massot, Vitaly Volpert

Institut Camille Jordan

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

Abstract

In this Note, we study a thermo-diffusive model for the propagation of 1D gaseous flames for complex chemistry with open graph. We use a new approach in order to prove the existence of a traveling wave and we study the behavior of the solution in the limit of zero mass diffusion coefficients: we show the continuity of the wave velocity and of the temperature and mass fraction profiles.

Translated title of the contribution	Propagation de flammes gazeuses dans la limite d'une diffusion massique nulle
Original language	English
Pages (from-to)	405-410
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	335
Issue number	4
DOIs	https://doi.org/10.1016/S1631-073X(02)02487-1
Publication status	Published - 15 Aug 2002
Externally published	Yes

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10.1016/S1631-073X(02)02487-1

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title = "Propagation of gaseous flames in the limit of small mass diffusion coefficients",

abstract = "In this Note, we study a thermo-diffusive model for the propagation of 1D gaseous flames for complex chemistry with open graph. We use a new approach in order to prove the existence of a traveling wave and we study the behavior of the solution in the limit of zero mass diffusion coefficients: we show the continuity of the wave velocity and of the temperature and mass fraction profiles.",

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AU - Laurent, Frédérique

AU - Massot, Marc

AU - Volpert, Vitaly

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N2 - In this Note, we study a thermo-diffusive model for the propagation of 1D gaseous flames for complex chemistry with open graph. We use a new approach in order to prove the existence of a traveling wave and we study the behavior of the solution in the limit of zero mass diffusion coefficients: we show the continuity of the wave velocity and of the temperature and mass fraction profiles.

AB - In this Note, we study a thermo-diffusive model for the propagation of 1D gaseous flames for complex chemistry with open graph. We use a new approach in order to prove the existence of a traveling wave and we study the behavior of the solution in the limit of zero mass diffusion coefficients: we show the continuity of the wave velocity and of the temperature and mass fraction profiles.

U2 - 10.1016/S1631-073X(02)02487-1

DO - 10.1016/S1631-073X(02)02487-1

M3 - Article

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SN - 1631-073X

VL - 335

SP - 405

EP - 410

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

Propagation of gaseous flames in the limit of small mass diffusion coefficients

Abstract

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