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- Title
Delta-Waves for a Class of Hyperbolic Systems of Conservation Laws.
- Authors
Hongjun Cheng; Huina Li
- Abstract
This paper is concerned with a class of hyperbolic systems of conservation laws admitting delta-waves. The Riemann problem is completely solved. The solutions exhibit four kinds of wave patterns: the first contains a vacuum state bounded by two contact discontinuities; the second involves the overcompressible delta-wave; the third and fourth include a vacuum state bounded by a contact delta-wave and a contact discontinuity. The highlight of this paper is the contact delta-waves.
- Subjects
RIEMANN-Hilbert problems; CONSERVATION laws (Mathematics); BOUND states; CONSERVATION laws (Physics)
- Publication
Southeast Asian Bulletin of Mathematics, 2024, Vol 48, Issue 1, p33
- ISSN
0129-2021
- Publication type
Article