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Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion

✍ Scribed by Li, Tong

Book ID
118198642
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
212 KB
Volume
40
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES

Stability of travelling wave solutions t
Stability of travelling wave solutions to a semilinear hyperbolic system with relaxation
✍ Yoshihiro Ueda πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 144 KB

## Abstract We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show