Asymmetric patterns for the Gierer-Meinhardt system

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/557

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.coverage.spatial	46	en
dc.date.accessioned	2007-01-22T12:40:36Z	-
dc.date.available	2007-01-22T12:40:36Z	-
dc.date.issued	2004	-
dc.identifier.citation	J Math Pures Appl 83: 358-390	en
dc.identifier.uri	http://www.elsevier.com/wps/find/journaldescription.cws_home/600731/description#description	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/557	-
dc.description.abstract	In this paper, we rigorously prove the existence and stability of K-peaked asymmetric patterns for the Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity. We show that given any positive integers k_1,\,k_2 \geq 1 with k_1+k_2=K, there are asymmetric patterns with k_1 large peaks and k_2 small peaks. Most of these asymmetric patterns are shown to be unstable. However, in a narrow range of parameters, asymmetric patterns may be stable (in contrast to the one-dimensional case).	en
dc.format.extent	325162 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Elsevier	en
dc.subject	Asymmetric patterns; Pattern formation; Mathematical biology; Singular perturbation	en
dc.subject	Weak Coupling	en
dc.title	Asymmetric patterns for the Gierer-Meinhardt system	en
dc.type	Research Paper	en
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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