You, Shouke Two-dimensional isentropic irrotational steady supersonic flow around a convex bend and convex corner. (Chinese. English summary) Zbl 1438.76024 Commun. Appl. Math. Comput. 32, No. 4, 899-913 (2018). Summary: A simple wave flow around a convex bend or corner is one of the most important elementary flows. In this paper, we study how the two-dimensional (2D) isentropic irrotational steady supersonic flow turns around a convex bend and corner. Based on the result in the literature, we theoretically prove that the supersonic flow turns around a convex bend or a convex corner by a rarefaction wave or a compression wave. In addition, we give the conditions for the appearance of vacuum or sonic state. MSC: 76J20 Supersonic flows Keywords:convex bend; convex corner; rarefaction wave; compression wave PDFBibTeX XMLCite \textit{S. You}, Commun. Appl. Math. Comput. 32, No. 4, 899--913 (2018; Zbl 1438.76024) Full Text: DOI