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The exceptional condition and unboundedness of solutions of hyperbolic systems of conservation type
Published online by Cambridge University Press: 14 February 2012
Synopsis
This paper is concerned with quasilinear hyperbolic systems of conservation type and establishes two main results. The first is that when a general system is considered in one space dimension and time, then the exceptional nature of a characteristic field implies the coincidence of a shock with one of the characteristics of that field. The second result involves the demonstration by example that quasilinear hyperbolic systems of conservation type may possess solutions that become unbounded after only a finite time, even though they are exceptional.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 1-2 , 1977 , pp. 1 - 8
- Copyright
- Copyright © Royal Society of Edinburgh 1977
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