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Hyperbolic Systems with Supercharacteristic Relaxations and Roll Waves

โœ Scribed by Katsoulakis, Markos A.; Jin, Shi


Book ID
118194240
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
527 KB
Volume
61
Category
Article
ISSN
0036-1399

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Stability of travelling wave solutions t
โœ Yoshihiro Ueda ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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