✦ LIBER ✦

Nonstrictly Hyperbolic Conservation Laws with a Parabolic Line

✍ Scribed by D.G. Schaeffer; S. Schecter; M. Shearer

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 942 KB
Volume: 103
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1993.1043

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On a nonstrictly hyperbolic system of co

On a nonstrictly hyperbolic system of conservation laws

✍ Tai-Ping Liu; Ching-Hua Wang 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 617 KB

Stability of viscous shock waves associa

Stability of viscous shock waves associated with a system of nonstrictly hyperbolic conservations laws

✍ Tai-Ping Liu; Zhouping Xin 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 889 KB

We introduce a simple model of two conservation laws which is strictly hyperbolic except for a degenerate parabolic line in the state space. Besides classical shock waves, it also exhibits overcompressive, marginal overcompressive, and marginal undercompressive shock waves. Our purpose is to study t

Hyperbolic conservation laws with a movi

Hyperbolic conservation laws with a moving source

✍ Wen-Ching Lien 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB

The purpose of this paper is to investigate the wave behavior of hyperbolic conservation laws with a moving source. When the speed of the source is close to one of the characteristic speeds of the system, nonlinear resonance occurs and instability may result. We will study solutions with a single tr

Convergence of the Fractional Step Metho

Convergence of the Fractional Step Method for a 2 × 2 Nonstrictly Hyperbolic System of Conservation Laws

✍ Bruno Rubino 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 331 KB

We study the existence of solutions to the Cauchy problem for a non-homogeneous nonstrictly hyperbolic system of 2 ϫ 2 conservation laws, satisfying the Lax entropy inequality. We obtain the convergence and the consistency of the approximating sequences generated by either the fractional Lax-Friedri

Hyperbolic Systems of Conservation Laws

Hyperbolic Systems of Conservation Laws with a Strict Riemann Invariant

✍ M. Sever 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 807 KB

Nonlinear, hyperbolic systems of conservation laws such as the Euler equations of fluid dynamics admit a strict Riemann invariant, e.g. the physical entropy. Here we discuss the structure of such systems, emphasizing the effects of changes of variables, the existence of equivalent symmetric systems,

A Nonlinear Flux Split Method for Hyperb

A Nonlinear Flux Split Method for Hyperbolic Conservation Laws

✍ Youssef Stiriba 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We present and analyze the performance of a nonlinear, upwind flux split method for approximating solutions of hyperbolic conservation laws. The method is based on a new version of the single-state-approximate Riemann solver devised by Harten, Lax, and van Leer (HLL) and implemented by Einfeldt. It