Hu, Jiaxin A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws. (English) Zbl 0877.35076 Q. Appl. Math. 55, No. 2, 361-373 (1997). The paper describes the analysis of a nonstrictly hyperbolic system of conservation laws which can be achieved from the momentum equations of the two-dimensional compressible Euler equations by introducing the assumptions of constant pressure in space and constant density in space and time. Thereby, a Riemann problem with constant left and right initial values is considered. In the first part, the author shows that the viscosity regularized problem generated by adding a small time dependent viscous perturbation into both equations has a smooth self-similar solution, if the above-mentioned initial values are considered. Furthermore, a proof is given that the limit solutions of the perturbed system generate solutions of the Riemann problem. Reviewer: A.Meister (Hamburg) Cited in 14 Documents MSC: 35L65 Hyperbolic conservation laws Keywords:two-dimensional compressible Euler equations; Riemann problem; viscosity regularized problem; self-similar solution PDFBibTeX XMLCite \textit{J. Hu}, Q. Appl. Math. 55, No. 2, 361--373 (1997; Zbl 0877.35076) Full Text: DOI