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Shock-wave solutions of the Einstein equations with perfect fluid sources: existence and consistency by a locally inertial Glimm scheme


About this Title

Jeff Groah and Blake Temple

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 172, Number 813
ISBNs: 978-0-8218-3553-1 (print); 978-1-4704-0414-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0813
MathSciNet review: 2097533
MSC (2000): Primary 35L65; Secondary 35L67, 35Q15, 83C05

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Preliminaries
  • 3. The fractional step scheme
  • 4. The Riemann problem step
  • 5. The ODE step
  • 6. Estimates for the ODE step
  • 7. Analysis of the approximate solutions
  • 8. The elimination of assumptions
  • 9. Convergence