Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed
In this paper we present an intuitive explanation for the non-uniqueness of the traveling wave speed in the Fisher equation, showing a similar non-uniqueness property in the case of inviscid traveling waves. More precisely, we prove that traveling waves of the Fisher equation with wave speed c > 0 converge to the inviscid traveling wave with speed. c > 0 as the diffusion vanishes. A complete diagram that shows the relation between the diffusive and inviscid traveling waves is given in this paper. (c) 2016 Elsevier Ltd. All rights reserved
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Issue Date
- 2016-10
- Language
- English
- Article Type
- Article
- Keywords
CONVECTION EQUATIONS; PROPAGATION; LIMIT
- Citation
APPLIED MATHEMATICS LETTERS, v.60, pp.28 - 35
- ISSN
- 0893-9659
- Appears in Collection
- MA-Journal Papers(저널논문)
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