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

Masao Yamazaki, Taeko Yamazaki

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)817-856
Number of pages40
JournalAdvances in Differential Equations
Volume1
Issue number5
Publication statusPublished - 1996
Externally publishedYes

Fingerprint

Hyperbolic Systems of Conservation Laws
Propagation Speed
Conservation
Cauchy Problem
Continuous Solution
Uniqueness
Sufficient
Necessary
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed. / Yamazaki, Masao; Yamazaki, Taeko.

In: Advances in Differential Equations, Vol. 1, No. 5, 1996, p. 817-856.

Research output: Contribution to journalArticle

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