Symmetric and Asymmetric Multiple Clusters In a Reaction-Diffusion System

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/1517

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.coverage.spatial	37	en
dc.date.accessioned	2008-01-07T12:02:24Z	-
dc.date.available	2008-01-07T12:02:24Z	-
dc.date.issued	2007	-
dc.identifier.citation	NoDEA Nonlinear differ. equ. appl. 14 (2007), 787-823	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/1517	-
dc.description.abstract	We consider the Gierer-Meinhardt system in the interval (-1,1) with Neumann boundary conditions for small diffusion constant of the activator and finite diffusion constant of the inhibitor. A cluster is a combination of several spikes concentrating at the same point. In this paper, we rigorously show the existence of symmetric and asymmetric multiple clusters. This result is new for systems and seems not to occur for single equations. We reduce the problem to the computation of two matrices which depend on the coefficient of the inhibitor as well as the number of different clusters and the number of spikes within each cluster.	en
dc.format.extent	279639 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Birkhaeuser, Basel	en
dc.subject	Multiple clusters	en
dc.subject	singular perturbation	en
dc.subject	Turing instability	en
dc.title	Symmetric and Asymmetric Multiple Clusters In a Reaction-Diffusion System	en
dc.type	Research Paper	en
dc.identifier.doi	https://doi.org/10.1007/s00030-007-6010-3	-
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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