Two dimensional Riemann problem for a 2 × 2 system of hyperbolic conservation laws involving three constant states

• Published in: Applied mathematics and computation Vol. 321; pp. 49 - 62
• Main Authors: Hwang, Jinah, Shin, Myoungin, Shin, Suyeon, Hwang, Woonjae
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.03.2018
• Subjects: Conservation laws; Delta shock; Riemann problem; Conservation laws; 76L15; Riemann problem; 35L67; 35L65; Delta shock

Zhang and Zheng (1990) conjectured on the structure of a solution for a two-dimensional Riemann problem for Euler equation. To resolve this illuminating conjecture, many researchers have studied the simplified 2 × 2 systems. In this paper, 3-pieces Riemann problem for two-dimensional 2 × 2 hyperboli...