Existence of solutions for a homogenized hyperbolic system of conservation laws

Article type: Research Article

Authors: Heibig, A.

Affiliations: Unité de Mathématiques Pures et Appliquées, Ecole Normale Supérieure de Lyon, 46, Allée d'Italie, 69 364 Lyon Cédex 07, France

Note: [] Correspondence to: A. Heibig, Unité de Mathématiques Pures et Appliquées, Ecole Normale Supérieure de Lyon, 46, Allée d'Italie, 69 364 Lyon Cédex 07, France.

Abstract: This paper deals with solutions of a homogenized hyperbolic system of conservation laws. Recently, Weinan E (case of a one-dimensional compressible fluid, cf. [3]) and D. Serre (general case of a one-dimensional system of conservation laws, cf. [11]) derived a system of homogenized equations, by using a multiple scale analysis. Our goal is to prove the existence of solutions for such a system.

DOI: 10.3233/ASY-1994-9103

Journal: Asymptotic Analysis, vol. 9, no. 1, pp. 39-45, 1994