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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
ISSN (print) / ISBN
1343-4373
Quellenangaben
Volume: 19,
Issue: 1,
Pages: 285-293
Publisher
Gakkōtosho
Publishing Place
Tokyo
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)