The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion

The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion — Isothermal case

Published:1986-09 Issue:3 Volume:92 Page:247-263
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch. Rational Mech. Anal.

Author:

Hattori Harumi

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF00254828.pdf

Reference10 articles.

1. Liebovich, L., Solutions of the Riemann problem for hyperbolic systems of quasilinear equations without convexity conditions. J. Math. Appl. 45 (1974), 81–90.

2. Liu, T. P., The Riemann problem for general 2×2 conservation laws. Trans. Amer. Math. Soc. 199 (1974), 89–112.

3. Lax, P. D., Hyperbolic systems of conservation laws and the mathematical theory of shock waves, CBMS Regional Conference Series in Applied Mathematics, SIAM Publications: Philadelphia (1973).

4. Wendroff, B., The Riemann problem for materials with nonconvex equations of state, I: Isentropic Flow. J. Math. Anal. Appl. 38 (1972), 454–466.

5. Dafermos, C. M., The entropy rate admissibility criterion for solutions of hyperbolic conservation laws. J. Differential Equations 14 (1973), 202–212.

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