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Admissible solutions of hyperbolic conservation laws
About this Title
Tai Ping Liu
Publication: Memoirs of the American Mathematical Society
Publication Year:
1981; Volume 30, Number 240
ISBNs: 978-0-8218-2240-1 (print); 978-1-4704-0647-9 (online)
DOI: https://doi.org/10.1090/memo/0240
MathSciNet review: 603391
MSC: Primary 35L65; Secondary 76N15
Table of Contents
Chapters
- 1. Introduction
- 2. Jump relation
- 3. Admissibility criterion
- 4. Resolution of discontinuities
- 5. Interaction of elementary waves, I
- 6. Stability of wave pattern
- 7. Interactions of elementary waves II
- 8. Nonlinear functional
- 9. Wave partition
- 10. Convergence of approximate solutions
- 11. Expansion waves
- 12. Continuity points
- 13. Curves of discontinuity
- 14. Points of interactions
- 15. Regularity of the solution
- 16. Asymptotic behavior of the solution
- 17. Linear and nonlinear waves