Entropy functions for symmetric systems of conservation laws. (English) Zbl 0624.35057
It is proved that any symmetric system of conservation laws is equipped with a one-parameter family of entropy functions. This family is given as well as the corresponding entropy fluxes.
Reviewer: E.V.Nicolau
MSC:
35L65 | Hyperbolic conservation laws |
References:
[1] | Friedrichs, K. O.; Lax, P. D., Systems of conservation equations with a convex extension, (Proc. Nat. Acad. Sci. U.S.A., 68 (1971)), 1636-1688 · Zbl 0229.35061 |
[2] | Godunov, S. K., The problem of a generalized solution in the theory of quasi-linear equations and in gas dynamics, Russian Math. Surveys, 17, 145-156 (1962) · Zbl 0107.20003 |
[3] | Kruzkov, S. N., First-order quasi-linear equations in several independent variables, Math. U.S.S.R. Sbornik, 10, 127-243 (1970) · Zbl 0215.16203 |
[4] | Lax, P. D., Shock waves and entropy, (Zarantonello, E. A., Contributions to Nonlinear Functional Analysis (1971), Academic Press: Academic Press New York), 603-634 · Zbl 0268.35014 |
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