Liu, Hailiang; Wang, Jinghua; Yang, Tong Stability of a relaxation model with a nonconvex flux. (English) Zbl 0961.35017 SIAM J. Math. Anal. 29, No. 1, 18-29 (1998). The authors prove the existence of a travelling wave solution of the conservation laws equations with shock profile for a nonconvex flux, if its speed is subcharacteritic. The main purpose of the paper is to prove the stability of such a wave and to justify the relaxation schemes introduced in the paper of T. P. Liu [Commun. Math. Phys. 108, 153-175 (1987; Zbl 0633.35049)], for a nonconvex flux under the assumption, that the Rankine-Hugoniot and entropy conditions are satisfied. Reviewer: Marie Kopáčková (Praha) Cited in 13 Documents MSC: 35B35 Stability in context of PDEs 35L65 Hyperbolic conservation laws 35L67 Shocks and singularities for hyperbolic equations Keywords:subcharacteristic speed; travelling wave; shock profile; Rankine-Hugoniot and entropy conditions Citations:Zbl 0633.35049 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Math. Anal. 29, No. 1, 18--29 (1998; Zbl 0961.35017) Full Text: DOI