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The entropy rate admissibility criterion for solutions of hyperbolic conservation laws. (English) Zbl 0262.35038

MSC:
35L60 First-order nonlinear hyperbolic equations
35L65 Hyperbolic conservation laws
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[1] Lax, P.D, Shock waves and entropy, (), 603-634
[2] Dafermos, C.M, Quasilinear hyperbolic systems that result from conservation laws, (), Chapter III · Zbl 0536.35048
[3] Lax, P.D, Hyperbolic systems of conservation laws II, Comm. pure appl. math., 10, 537-556, (1957) · Zbl 0081.08803
[4] Oleinik, O.A, Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation, Uspehi mat. nauk, 14, 165-170, (1959)
[5] Wendroff, B, The Riemann problem for materials with nonconvex equations of state. I: isentropic flow, J. math. anal. appl., 38, 454-466, (1972) · Zbl 0264.76054
[6] {\scL. Leibovich}, Solutions of the Riemann problem for hyperbolic systems of quasilinear equations without convexity conditions. J. Math. Anal. Appl., to appear. · Zbl 0273.35052
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