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Hyperbolic Problems: Theory, Numerics, Applications pp 97–104Cite as

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Courant’s Problems and Their Extensions

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

Abstract

New geometric invariants are defined for the hyperbolic systems of first order partial differential equations. Applications of these invariants to the Courant problems are presented along with their applications to the necessary conditions for the existence of Hamiltonian structures. Applications to the gas dynamics equations, to the Benney equations and to their perturbations are developed.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Queen’s University, Kingston, Canada, K7L 3N6

    Oleg I. Bogoyavlenskij

Authors
  1. Oleg I. Bogoyavlenskij
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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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Bogoyavlenskij, O.I. (1999). Courant’s Problems and Their Extensions. 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_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8720-5_11

  • 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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