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Homogenisation of parametrised families of hyperbolic problems

Published online by Cambridge University Press:  14 November 2011

Y. Amirat ,
K. Hamdache  and
A. Ziani
Y. Amirat
Affiliation:
Laboratoire d'Analyse Numérique, Université Claude Bernard-Lyon 1, 43 boulevard du 11 Novembre 1918, F-69622 Villeurbanne cedex, France
K. Hamdache
Affiliation:
CNRS-ENSTA/GHN, Centre de l'Yvette, chemin de la Hunière, F-91120 Palaiseau, France
A. Ziani
Affiliation:
Département de Mathématiques, Université de Nantes, 2 rue de la Houssinière, F-44072 Nantes cedex 03, France
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Synopsis

This paper is concerned with homogenisation processes for parametrised families of transport equations in ℝn symmetric hyperbolic systems in several space dimensions and anisotropic wave equations. The main tools for carrying out the homogenisation are the Young measures and Radon transform combined with the integral representation of holomorphic functions of Nevanlinna-Pick's type.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 120 , Issue 3-4 , 1992 , pp. 199 - 221
Copyright
Copyright © Royal Society of Edinburgh 1992

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