SINGULAR LIMITS FOR TRAVELING WAVES FOR A PAIR OF EQUATIONS

Authors
HUTSON V MISCHAIKOW K
Citation
V. Hutson et K. Mischaikow, SINGULAR LIMITS FOR TRAVELING WAVES FOR A PAIR OF EQUATIONS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 126, 1996, pp. 399-411
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
126
Year of publication
1996
Part
2
Pages
399 - 411
Database
ISI
SICI code
0308-2105(1996)126:<399:SLFTWF>2.0.ZU;2-1
Abstract
The singular limit as one diffusion coefficient approaches zero is con sidered for travelling wave solutions to a pair of reaction-diffusion equations. An explicit criterion determining the sign of the wave spee d is obtained. The limit behaviour turns out to be of a different natu re for positive and negative wave speed. Different techniques, which m ay be applicable to a range of examples, are needed in the two cases.