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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)
MathSciNet review: 1357824
MSC: Primary 35L65; Secondary 35B40, 35K55, 35M10

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Table of Contents


  • 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