Existence of multidimensional travelling waves in the bistable case
β Scribed by Vitaly Volpert; Aizik Volpert
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 386 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0764-4442
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π SIMILAR VOLUMES
This paper has been written while the authors were visiting Scuola Normale Superiore, Pisa.
The existence of a discrete travelling wave is proved for the relaxing scheme. The main idea is to change the original scheme such that the resulting scheme is monotonic to which Jennings' result can be applied. The equivalence of the resulting scheme and the original one is shown when 1/ --1/q. The
Propagation failure (pinning) of traveling waves is studied in a discrete scalar reaction--diffusion equation with a piecewise linear, bistable reaction function. The critical points of the pinning transition, and the wavefront profile at the onset of propagation are calculated exactly. The scaling