Traveling waves in a relaxation system
β Scribed by Yigong Ni; E. Bruce Pitman
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 468 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-7225
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π SIMILAR VOLUMES
## 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
## Communicated by B. Brosowski For a class of one-dimensional lattice dynamical systems we prove the existence of periodic travelling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appr