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Book Review
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Book Information
Author(s):
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:
- 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
Additional Information:
Reviewer(s):
J. A.
Smoller
Review Information:
Journal:
Bull. Amer. Math. Soc.
24
(1991),
228-234.
DOI:
10.1090/S0273-0979-1991-15997-5
PII:
S 0273-0979(1991)15997-5
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