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Efendiyev, M.A. ; Müller, J.*

Classification of existence and non-existence of running fronts in case of fast diffusion.

Adv. Math. Sci. Appl. 19, 285-293 (2009)
We consider a reaction diffusion equation with density dependent diffusion rate. This diffusion rate has a zero of order a> 1 at zero and a singularity of order b> 0 at a threshold density. The reaction term has a zero of order α at the same threshold density. We show that for α − b> −1 there are running fronts, and that there are no running fronts for α − b ≤ 1.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Classification of running fronts; fast diffusion; Fisher equation
Language english
Publication Year 2009
HGF-reported in Year 0
ISSN (print) / ISBN 1343-4373
Journal Advances in Mathematical Sciences and Applications
Quellenangaben Volume: 19, Issue: 1, Pages: 285-293 Article Number: , Supplement: ,
Publisher Gakkōtosho
Publishing Place Tokyo
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)
PSP Element(s) G-503800-002
Erfassungsdatum 2009-12-31
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