Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem)

Alvarez Pereira, Carlos and Vega de Prada, José Manuel (1990). Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem). "SIAM Journal on Mathematical Analysis", v. 21 (n. 4); pp. 884-904. ISSN 0036-1410. https://doi.org/10.1137/0521049.

Description

Title: Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem)
Author/s:
  • Alvarez Pereira, Carlos
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: SIAM Journal on Mathematical Analysis
Date: July 1990
ISSN: 0036-1410
Volume: 21
Subjects:
Freetext Keywords: global stability, stabilization, reaction regions, premixed flames, nonadiabatic flames
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Global stability properties of a premixed, three-dimensional reaction zone are considered. In the nonadiabatic case (i.e., when there is a heat exchange between the reaction zone and the burned gases) there is a unique, spatially one-dimensional steady state that is shown to be unstable (respectively, asymptotically stable) if the reaction zone is cooled (respectively, heated) by the burned mixture. In the adiabatic case, there is a unique (up to spatial translations) steady state that is shown to be stable. In addition, the large-time asymptotic behavior of the solution is analyzed to obtain sufficient conditions on the initial data for stabilization. Previous partial numerical results on linear stability of one-dimensional reaction zones are thereby confirmed and extended.

More information

Item ID: 5985
DC Identifier: http://oa.upm.es/5985/
OAI Identifier: oai:oa.upm.es:5985
DOI: 10.1137/0521049
Deposited by: Memoria de Investigacion 2
Deposited on: 14 Feb 2011 09:32
Last Modified: 20 Apr 2016 14:39
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