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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Authors: Tung Chang (Tong Zhang) and Ling Hsiao (Ling Xiao)
Title: The Riemann problem and interaction of waves in gas dynamics
Additional book information: Longman Scientific and Technical (Pitman Monographs No. 41), Essex, 1989, 272 pp. ISBN 0-582-01378-X.

References [Enhancements On Off] (What's this?)

  • 1. J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 95-105. MR 194770
  • 2. J. Glimm, C. Klingenberg, O. McBryan, B. Plohr, D. Sharp and S. Yaniv, Front tracking and two dimensional Riemann problems, Adv. Appl. Math. 6 (1985), 259-290. MR 809028
  • 3. E. Hopf, The partial differential equations u, Comm. Pure Appl. Math. 3 (1950), 201-230.
  • 4. B. Keyfitz and H. Kranzer, eds. Nonstrictly hyperbolic conservation laws, Contemp. Math., vol. 60, Amer. Math. Soc., Providence, R.I., 1987. MR 873524
  • 5. P. D. Lax, Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math. 10 (1957), 537-566. MR 93653
  • 6. T. P. Liu, Large-time behavior of solutions of initial and initial-boundary value problems of a general system of hyperbolic conservation laws, Comm. Math. Phys. 55 (1977), 163-177. MR 447825
  • 7. O. A. Oleinik, Discontinuous solutions of nonlinear differential equations, Uspekhi Mat. Nauk. (N. S. ) 12 (1957), 3-73. (English Translation in Amer. Math. Soc. Transl. Ser. 2, 26 95-172. ) MR 94541
  • 8. R. Smith, The Riemann problem in gas dynamics, Trans. Amer. Math. Soc. 249 (1979), 1-50. MR 526309

Review Information:

Reviewer: J. A. Smoller
Journal: Bull. Amer. Math. Soc. 24 (1991), 228-234
DOI: https://doi.org/10.1090/S0273-0979-1991-15997-5
American Mathematical Society