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Existence and stability of traveling wave solutions to first-order quasilinear hyperbolic systems

โœ Scribed by Liu, Cunming; Qu, Peng


Book ID
120370461
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
400 KB
Volume
100
Category
Article
ISSN
0021-7824

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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