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2011, 2011(Special): 54-60. doi: 10.3934/proc.2011.2011.54

From local to nonlocal in a diffusion model

Armel Ovono Andami 1,

1. 

Université de Picardie Jules Verne, LAMFA, 33 rue Saint Leu, 80039, Amiens, France

Received  July 2010 Revised  April 2011 Published  October 2011

In this paper we investigate the behaviour of a di usion equation where di usion depends to nonlocal terms. In a radial setting, by regarding bifurcation theory, we prove the existence of local branches of solutions, among them one is the global branch of solutions without bifurcation point.
Keywords: Branch of solutions, radial solutions, Nonlocal di usion.
Mathematics Subject Classification: Primary: 35J60, 35B30.
Citation: Armel Ovono Andami. From local to nonlocal in a diffusion model. Conference Publications, 2011, 2011 (Special) : 54-60. doi: 10.3934/proc.2011.2011.54
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