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Solutions for Models of Chemically Reacting Compressible Mixtures

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

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  • Vincent Giovangigli

    (Ecole Polytechnique, CMAP-CNRS)

Abstract

The mathematical modeling of chemically reacting mixtures is investigated. The governing equations, which may be split between conservation equations, thermochemistry, and transport fluxes, are presented as well as typical simplifications often encountered in the literature. The hyperbolic–parabolic structure of the resulting system of partial differential equations is analyzed using symmetrizing variables. The Cauchy problem is discussed for the full system derived from the kinetic theory of gases as well as relaxation toward chemical equilibrium fluids in the fast chemistry limit. The situations of traveling waves and reaction–diffusion systems are also addressed.

Suggested Citation

  • Vincent Giovangigli, 2018. "Solutions for Models of Chemically Reacting Compressible Mixtures," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 53, pages 2979-3030, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_73
    DOI: 10.1007/978-3-319-13344-7_73
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