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Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Gui-Qiang Chen

    (Northwestern University)

  • David Hoff

    (Indiana University)

  • Konstantina Trivisa

    (University of Maryland)

Abstract

The global existence and large time behavior of solutions are established for a model which describes the dynamic combustion of a compressible, exothermically reacting fluid. Necessary and sufficient conditions for complete combustion are presented in certain cases. The adiabatic “constant” and specific heat depend on the mass fraction of the reactant and therefore vary in time and space. This model is formulated by the Navier-Stokes equations expressing the conservation of mass, the balance of momentum and energy, and two-species chemical kinetics. The results are obtained for large and discontinuous initial data (cf. Chen, Hoff and Trivisa [7].

Suggested Citation

  • Gui-Qiang Chen & David Hoff & Konstantina Trivisa, 2003. "Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 433-442, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_39
    DOI: 10.1007/978-3-642-55711-8_39
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