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Entropic structure of multicomponent reactive flows with partial equilibrium reduced chemistry
Author(s) -
Giovangigli Vincent,
Massot Marc
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.429
Subject(s) - entropy production , thermodynamics , chemistry , chemical equilibrium , equilibrium constant , entropy (arrow of time) , equilibrium thermodynamics , limit (mathematics) , statistical physics , thermodynamic equilibrium , physics , mathematics , mathematical analysis
In this paper, we investigate the system of equations modelling multicomponent reactive flows with detailed transport and complex chemistry in the limit of partial equilibrium. The reduced system is obtained using a projection step compatible with the chemical entropy production. The reduced multicomponent transport and convection fluxes are shown to be compatible with the mathematical entropy thus providing a symmetric form as well as normal forms for the reduced system. This yields global existence and asymptotic stability around constant equilibrium states for the Cauchy problem on the partial equilibrium manifold in all space dimensions. Copyright © 2004 John Wiley & Sons, Ltd.