PuSH - Publikationsserver des Helmholtz Zentrums München

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.
Weitere Metriken?
[➜Einloggen]
Zusatzinfos bearbeiten [➜Einloggen]
Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Classification of running fronts; fast diffusion; Fisher equation
ISSN (print) / ISBN 1343-4373
Zeitschrift Advances in Mathematical Sciences and Applications
Quellenangaben Band: 19, Heft: 1, Seiten: 285-293 Artikelnummer: , Supplement: ,
Verlag Gakkōtosho
Verlagsort Tokyo
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)