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Liu, Tai-Ping

The entropy condition and the admissibility of shocks. (English) Zbl 0332.76051

J. Math. Anal. Appl. 53, 78-88 (1976).
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Cited in 60 Documents

MSC:

76L05 Shock waves and blast waves in fluid mechanics
35L65 Hyperbolic conservation laws
35F25 Initial value problems for nonlinear first-order PDEs
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References:

[1] Conley, C. C.; Smoller, J. A., Viscosity matrices for two-dimensional nonlinear hyperbolic systems, Comm. Pure Appl. Math., 23, 867-884 (1970) · Zbl 0201.43301
[2] C. M. DafermosArch. Rational Mech. Anal.; C. M. DafermosArch. Rational Mech. Anal. · Zbl 0278.35065
[3] Gelfand, I. M., Amer. Math. Soc. Transl., No. 29, 295-381 (1963), Ser. 2 · Zbl 0127.04901
[4] Lax, P. D., Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10, 537-566 (1957) · Zbl 0081.08803
[5] Liu, T.-P, Riemann problem for general 2 × 2 conservation laws, Trans. Amer. Math. Soc., 199, 89-112 (1974) · Zbl 0289.35063
[6] Liu, T.-P, The Riemann problem for general systems of conservation laws, J. Differential Equations, 18, 218-234 (1975) · Zbl 0297.76057
[7] Smoller, J. A., Contact discontinuities in quasi-linear hyperbolic systems, Comm. Pure Appl. Math., 23, 791-801 (1970) · Zbl 0195.39201
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