𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of the discrete travelling waves for a relaxing scheme

✍ Scribed by Hailiang Liu; Jinghua Wang; Tong Yang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
310 KB
Volume
10
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

The existence of a discrete travelling wave is proved for the relaxing scheme. The main idea is to change the original scheme such that the resulting scheme is monotonic to which Jennings' result can be applied. The equivalence of the resulting scheme and the original one is shown when 1/ --1/q. The u-component of the discrete travelling wave thus obtained is a discrete shock for a monotone conservative difference scheme, which approximates the corresponding conservation law.

πŸ“œ SIMILAR VOLUMES

Decay Rate for Travelling Waves of a Rel
Decay Rate for Travelling Waves of a Relaxation Model
✍ Hailiang Liu; Ching Wah Woo; Tong Yang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 404 KB

Wang, Asymptotic stability of travelling wave solutions of a hyperbolic system with relaxation terms, preprint, 1995] when the original system is scalar. In this paper, we study the rate of the asymptotic convergence speed of thse travelling wave solutions. The analysis applies to the case of a nonc

Existence of periodic traveling wave sol
Existence of periodic traveling wave solutions for the Ostrovsky equation
✍ Naoyuki Ishimura; Tetsu Mizumachi πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 82 KB πŸ‘ 2 views

## Abstract We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyrig