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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)
MathSciNet review: 603391
MSC: Primary 35L65; Secondary 76N15

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Table of Contents


  • 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
American Mathematical Society