Homogenisation of parametrised families of hyperbolic problems

Youcef Amirat, Kamel Hamdache, Abdelhamid Ziani · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1992

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.

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