| Автор | Billingham, J. |
| Автор | Needham, D. J |
| Дата выпуска | 1991 |
| dc.description | The propagating reaction–diffusion waves that may develop in the isothermal, autocatalytic system A+2B→3B, from a local initial input of the autocatalyst B, are considered. We find that travelling-wave solutions exist for all propagation speeds . It is shown that the travelling-wave solution with minimum propagation speed, exhibits exponential decay in the concentration of the autocatalyst B ahead of the wavefront, whilst, for faster travelling waves, with , the autocatalyst concentration decays only algebraically. This difference in behaviour between the minimum-speed and faster-speed waves has implications concerning the selection of the long-time wave speed when such travelling waves are generated from an initial-value problem |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis |
| Тип | research-article |
| DOI | 10.1080/02681119108806105 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 6 |
| Первая страница | 33 |
| Последняя страница | 49 |
| Аффилиация | Billingham, J.; School of Mathematics, University of East Anglia |
| Аффилиация | Needham, D. J; School of Mathematics, University of East Anglia |
| Выпуск | 1 |
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