Hyperbolic systems of conservation laws.

Alberto Bressan

Revista Matemática Complutense (1999)

  • Volume: 12, Issue: 1, page 135-198
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Bressan, Alberto. "Hyperbolic systems of conservation laws.." Revista Matemática Complutense 12.1 (1999): 135-198. <http://eudml.org/doc/44436>.

@article{Bressan1999,
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.},
author = {Bressan, Alberto},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones en derivadas parciales no lineales; Problemas hiperbólicos; Solución débil; Entropía; Problema de Cauchy; Problema de Riemann; approximate Riemann solver; wave interaction; wave-front tracking; one space dimension; Lipschitz-continuous semigroup},
language = {eng},
number = {1},
pages = {135-198},
title = {Hyperbolic systems of conservation laws.},
url = {http://eudml.org/doc/44436},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Bressan, Alberto
TI - Hyperbolic systems of conservation laws.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 1
SP - 135
EP - 198
AB - 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.
LA - eng
KW - Ecuaciones en derivadas parciales no lineales; Problemas hiperbólicos; Solución débil; Entropía; Problema de Cauchy; Problema de Riemann; approximate Riemann solver; wave interaction; wave-front tracking; one space dimension; Lipschitz-continuous semigroup
UR - http://eudml.org/doc/44436
ER -

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