The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed

Masao Yamazaki; Taeko Yamazaki

The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed

Research output: Contribution to journal › Article › peer-review

Abstract

This paper shows the existence of time-global continuous characteristic solutions of the Cauchy problem for a class of 2 × 2 weakly hyperbolic systems of conservation laws in one space dimension with possibly unbounded initial propagation speed, and gives a condition on the growth of the initial propagation speed necessary and sufficient for the uniqueness of continuous solutions.

Original language	English
Pages (from-to)	817-856
Number of pages	40
Journal	Advances in Differential Equations
Volume	1
Issue number	5
Publication status	Published - 1996 Dec 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed

Abstract

ASJC Scopus subject areas

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