Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 58, No. 4, pp. 473-484 (2001)

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Existence of $L^{\infty}$ Entropy Solutions for A Reacting Euler System

Laurent Gosse

Istituto per le Applicazioni del Calcolo (IAC),
Viale del Policlinico, 137, 00161 Roma -- ITALY
E-mail: gosse@iac.rm.cnr.it

Abstract: In this Note, we give an existence result of $L^{\infty}$ solutions for an isentropic Euler system with a source term. Our method follows the analysis of DiPerna and uses the compensated compactness theory developed by Murat and Tartar.

Keywords: Compensated compactness; Euler equations; Source terms.

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Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.

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