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Existence of solutions for a class of hyperbolic systems of p conservation laws (p ≥ 3)

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Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 43))

Abstract

We consider a strictly hyperbolic system

$${u_t} + f{(u)_x} = 0\;,\;x \in \mathbb{R},t > 0,u \in {\mathbb{R}^p}$$
((1))

with a smooth flux function f.

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Authors and Affiliations

  1. Unité de Mathématiques Pures et Appliquées, ENS Lyon, 46, Allée d’Italie, 69364, Lyon Cedex 07, France

    Sylvie Benzoni-Gavage & Denis Serre

Authors
  1. Sylvie Benzoni-Gavage
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  2. Denis Serre
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Editor information

Andrea Donato Francesco Oliveri

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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Benzoni-Gavage, S., Serre, D. (1993). Existence of solutions for a class of hyperbolic systems of p conservation laws (p ≥ 3). In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_8

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  • DOI: https://doi.org/10.1007/978-3-322-87871-7_8

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07643-6

  • Online ISBN: 978-3-322-87871-7

  • eBook Packages: Springer Book Archive

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