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Traveling Waves for Combustion in Porous Media

  • Conference paper
Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 129))

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Abstract

We determine the planar traveling wave solutions for a nonstrictly hyperbolic system of three conservation laws modeling combustion in-situ in petroleum reservoirs. The chemical reaction is represented by Arrhenius law. Our analysis shows that the combustion wave is represented by a heteroclinic connection in a non-hyperbolic system of three ordinary differential equations.

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References

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Goiás, Caixa Postal 131, 64970-001, Goiânia, GO, Brazil

    J. da Mota

  2. Departamento de Matemática, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970, Belo Horizonte, MG, Brazil

    W. Dantas

  3. Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil

    D. Marchesin

Authors
  1. J. da Mota
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  2. W. Dantas
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  3. D. Marchesin
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Editor information

Editors and Affiliations

  1. Seminar for Applied Mathematics, ETH Zentrum, 8092, Zürich, Switzerland

    Michael Fey  & Rolf Jeltsch  & 

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© 1999 Springer Basel AG

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da Mota, J., Dantas, W., Marchesin, D. (1999). Traveling Waves for Combustion in Porous Media. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_20

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  • DOI: https://doi.org/10.1007/978-3-0348-8720-5_20

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9742-6

  • Online ISBN: 978-3-0348-8720-5

  • eBook Packages: Springer Book Archive

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