Bulletin of the American Mathematical Society

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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.

James Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 697–715. MR 194770, DOI 10.1002/cpa.3160180408

James Glimm, Christian Klingenberg, Oliver McBryan, Bradley Plohr, David Sharp, and Sara Yaniv, Front tracking and two-dimensional Riemann problems, Adv. in Appl. Math. 6 (1985), no. 3, 259–290. MR 809028, DOI 10.1016/0196-8858(85)90014-4

3.

E. Hopf, The partial differential equations u, Comm. Pure Appl. Math. 3 (1950), 201-230.

Barbara Lee Keyfitz and Herbert C. Kranzer (eds.), Nonstrictly hyperbolic conservation laws, Contemporary Mathematics, vol. 60, American Mathematical Society, Providence, RI, 1987. MR 873524, DOI 10.1090/conm/060

P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537–566. MR 93653, DOI 10.1002/cpa.3160100406

Tai Ping 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), no. 2, 163–177. MR 447825

O. A. Oleĭnik, Discontinuous solutions of non-linear differential equations, Uspehi Mat. Nauk (N.S.) 12 (1957), no. 3(75), 3–73 (Russian). MR 0094541

Randolph G. Smith, The Riemann problem in gas dynamics, Trans. Amer. Math. Soc. 249 (1979), no. 1, 1–50. MR 526309, DOI 10.1090/S0002-9947-1979-0526309-2

1.

J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 95-105. MR 0194770

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