Abstract.In this paper, by re-constructing the continuous Glimm functional, we consider global classical solutions to the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems without assuming the systems to be weakly linearly degenerate. An application is given for the system of traffic flow.

Received: June 6, 2005

AMS Subject Classification: 35L45, 35L60

Key Words and Phrases: quasilinear hyperbolic system, Cauchy problem, global classical solution, weak linear degeneracy

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 22
Issue: 4