About the Cauchy problem for a system of conservation laws. (English) Zbl 0897.35049

Cheverry, C.

Colombini, Ferruccio (ed.) et al., Geometrical optics and related topics. Selected papers of the meeting, Cortona, Italy, September 1996. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 32, 95-116 (1997).

This note presents some recent results on the question of finding a relevant criterion leading to a global existence of weak solutions for a strictly hyperbolic and genuinely nonlinear system of conservation laws.
For the entire collection see [Zbl 0878.00061].

Reviewer: G.Boillat (Aubière)

MSC:

35L65	Hyperbolic conservation laws
35L45	Initial value problems for first-order hyperbolic systems

Keywords:

global existence of weak solutions