[1] Smoller J A. Shock Waves and Reaction-Diffusion Equations. 2nd ed. New York: Springer-Verlag, 1994
[2] Wendroff B. The Riemann problem for materials with nonconvex equations state I. isentropic flow. J Math Anal Appl, 1972, 38: 454–466
[3] Sun W H, Sheng W C. The Riemann problem for nonlinear degenerate wave equations. Appl Math Mech-Engl Ed, 2010, 31(6): 665–674
[4] Lu Y G. Nonlinearly degenerate wave equation vtt = c(|v|s−1v)xx. Rev Acad Colomb Cienc, 2007, 119(31): 275–283
[5] Liu T P. The Riemann problem for general 2×2 conservation laws. Trans Amer Math Soc, 1974, 199: 89–112
[6] Liu T P. The Riemann problem for general systems of hyperbolic conservation laws. J Diff Eqs, 1975, 18: 218–234
[7] Liu T P. Admissible solutions of hyperbolic conservation laws. Mem Amer Math Soc, 1981, 30
[8] Lax P D. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves. Philadelphia: SIAM, 1973 |