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.
@article{urn:eudml:doc:44436,
title = {Hyperbolic systems of conservation laws.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {12},
year = {1999},
pages = {135-198},
zbl = {0943.35051},
mrnumber = {MR1698903},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44436}
}
Bressan, Alberto. Hyperbolic systems of conservation laws.. Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999) pp. 135-198. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44436/