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Nonlinear stability of shock waves for viscous conservation laws
About this Title
Tai-Ping Liu
Publication: Memoirs of the American Mathematical Society
Publication Year:
1985; Volume 56, Number 328
ISBNs: 978-0-8218-2329-3 (print); 978-1-4704-0741-4 (online)
DOI: https://doi.org/10.1090/memo/0328
MathSciNet review: 791863
MSC: Primary 35L65; Secondary 76L05
Table of Contents
Chapters
- 1. Introduction
- 2. Viscous shock waves
- 3. Linear diffusion waves
- 4. Nonlinear diffusion waves
- 5. Compression and weak expansion
- 6. Distribution of mass
- 7. Linear hyperbolic waves
- 8. Energy method
- 9. Characteristic-energy method
- 10. A priori estimates – Single modes
- 11. A priori estimates – General modes
- 12. Global existence and asymptotic behavior