AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
About this Title
Tai-Ping Liu and Yanni Zeng
Publication: Memoirs of the American Mathematical Society
Publication Year:
1997; Volume 125, Number 599
ISBNs: 978-0-8218-0545-9 (print); 978-1-4704-0184-9 (online)
DOI: https://doi.org/10.1090/memo/0599
MathSciNet review: 1357824
MSC: Primary 35L65; Secondary 35B40, 35K55, 35M10
Table of Contents
Chapters
- 1. Introduction
- 2. Viscous conservation laws
- 3. Diffusion waves
- 4. Systems with diagonalizable linearizations
- 5. Green’s function for a $2 \times 2$ linear system
- 6. Green’s functions for $n \times n$ systems with applications
- 7. Energy estimate
- 8. Systems with non-diagonalizable linearizations
- 9. Applications to continuum mechanics