✦ LIBER ✦

Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process

✍ Scribed by D. Mitrovic; V. Bojkovic; V. G. Danilov

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 304 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1226

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✦ Synopsis

Abstract

Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the so‐called generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system. As a consequence, we shall see how the delta shock wave naturally arises along the characteristics.

📜 SIMILAR VOLUMES

Global solutions with shock waves to the

Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws II

✍ Zhi-Qiang Shao 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 265 KB 👁 1 views

## Abstract This work is a continuation of our previous work. In the present paper, we study the existence and uniqueness of global piecewise __C__^1^ solutions with shock waves to the generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws with linear damping in