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Asymptotic Behavior of Solutions to a Hyperbolic System with Relaxation and Boundary Effect

โœ Scribed by Tong Yang; Huijiang Zhao; Changjiang Zhu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
193 KB
Volume
163
Category
Article
ISSN
0022-0396

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## 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