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.
Keywords
- Hyperbolic System
- Hamiltonian Structure
- Geometric Invariant
- Order Partial Differential Equation
- Nijenhuis Tensor
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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
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