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Existence and uniqueness theorems for Riemann problems. (English) Zbl 0317.35062


MSC:

35L65 Hyperbolic conservation laws
35L25 Higher-order hyperbolic equations
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References:

[1] P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537 – 566. · Zbl 0081.08803 · doi:10.1002/cpa.3160100406
[2] Tai Ping Liu, The Riemann problem for general 2\times 2 conservation laws, Trans. Amer. Math. Soc. 199 (1974), 89 – 112. · Zbl 0289.35063
[3] Tai Ping Liu, The entropy condition and the admissibility of shocks, J. Math. Anal. Appl. 53 (1976), no. 1, 78 – 88. · Zbl 0332.76051 · doi:10.1016/0022-247X(76)90146-3
[4] J. A. Smoller, On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems, Michigan Math. J. 16 (1969), 201 – 210. · Zbl 0185.34501
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