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 speed c（m, f） of wave fronts forthe reaction diffusion equations ut=uxx+umf（u） is given, where m>1 and f（u）～1-u.The continuity of c（m, f） in m and f is also proved. Especially, for f（u）=1-u, the estimateof the minimal wave speed c（m...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta Mathematicae Applicatae Sinica 1992-07, Vol.8 (3), p.252-258
1. Verfasser: 王明新 叶其孝
Format: Artikel
Sprache:eng
Schlagworte:
arbitrary
continuity
inequality
monotone
satis
sharp
travelling
uniformly
variational
WAVE
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, a variational description of the minimal wave speed c（m, f） of wave fronts forthe reaction diffusion equations ut=uxx+umf（u） is given, where m>1 and f（u）～1-u.The continuity of c（m, f） in m and f is also proved. Especially, for f（u）=1-u, the estimateof the minimal wave speed c（m, f） is obtained.
ISSN:0168-9673
1618-3932
DOI:10.1007/BF02014583