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On the minimal wave speed of wave fronts for reaction-diffusion equations

On the minimal wave speed of wave fronts for reaction-diffusion equations In this paper, a variational description of the minimal wave speedc* (m, f) of wave fronts for the reaction diffusion equationsu t =u xx +u m f (u) is given, wherem>1 andf(u) ∼ 1 -u. The continuity ofc* (m, f) inm andf is also proved. Especially, forf(u)=1−u, the estimate of the minimal wave speedc* (m, f) is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

On the minimal wave speed of wave fronts for reaction-diffusion equations

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Publisher
Springer Journals
Copyright
Copyright © 1992 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02014583
Publisher site
See Article on Publisher Site

Abstract

In this paper, a variational description of the minimal wave speedc* (m, f) of wave fronts for the reaction diffusion equationsu t =u xx +u m f (u) is given, wherem>1 andf(u) ∼ 1 -u. The continuity ofc* (m, f) inm andf is also proved. Especially, forf(u)=1−u, the estimate of the minimal wave speedc* (m, f) is obtained.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 15, 2005

References