Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. (English) Zbl 1212.35302 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 777-802 (2009). Summary: In this paper, we survey the authors’ and related work on two-dimensional Riemann problems for hyperbolic conservation laws, mainly those related to the compressible Euler equations in gas dynamics. It contains four sections: 1. Historical review. 2. Scalar conservation laws. 3. Euler equations. 4. Simplified models. Cited in 24 Documents MSC: 35L65 Hyperbolic conservation laws 35L67 Shocks and singularities for hyperbolic equations 76J20 Supersonic flows 76N15 Gas dynamics (general theory) Keywords:two-dimensional Riemann problem; compressible Euler equation; reflection of shocks; interaction of rarefaction waves; delta-shocks PDFBibTeX XMLCite \textit{J. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 777--802 (2009; Zbl 1212.35302) Full Text: DOI