Full paper in PDF:
$%A. Bressan, Hyperbolic systems of conservation laws, Rev. Mat. Complut. 12 (1999), no. 1, 135–200. %$

Hyperbolic Systems of Conservation Laws
Alberto BRESSAN
Sector of Functional Analysis
International School for Advanced Studios
Trieste — Italy

Received: October 28, 1998
 

ABSTRACT

This is a survey paper, written in the occasion of an invited talk given by the author at the Universidad Complutense in Madrid, October 1998. Its purpose is to provide an account of some recent advances in the mathematical theory of hyperbolic systems of conservation laws in one space dimension. After a brief review of basic concepts, we describe in detail the method of wave-front tracking approximation and present some of the latest results on uniqueness and stability of entropy weak solutions.

1991 Mathematics Subject Classification: 35L65.