×

Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. (English) Zbl 1212.35302

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.

MSC:

35L65 Hyperbolic conservation laws
35L67 Shocks and singularities for hyperbolic equations
76J20 Supersonic flows
76N15 Gas dynamics (general theory)
PDFBibTeX XMLCite
Full Text: DOI