Asymmetric spotty patterns for the Gray-Scott model in R^2

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/566

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.coverage.spatial	44	en
dc.date.accessioned	2007-01-22T14:53:25Z	-
dc.date.available	2007-01-22T14:53:25Z	-
dc.date.issued	2003	-
dc.identifier.citation	Winter, M. and Wei, J. (2003) 'Asymmetric spotty patterns for the Gray-Scott model in R^2', Studies in Applied Mathematics, 110(1), pp. 63-102. doi:10.1111/1467-9590.00231.	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/566	-
dc.description.abstract	In this paper, we rigorously prove the existence and stability of asymmetric spotty patterns for the Gray-Scott model in a bounded two dimensional domain. We show that given any two positive integers k_1,\,k_2, there are asymmetric solutions with k_1 large spots (type A) and k_2 small spots (type B). We also give conditions for their location and calculate their heights. Most of these asymmetric solutions are shown to be unstable. However, in a narrow range of parameters, asymmetric solutions may be stable.	en
dc.format.extent	314109 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Blackwell	en
dc.subject	Asymmetric patterns; Spotty solutions	en
dc.subject	Self-replication; Reaction-diffusion system	en
dc.title	Asymmetric spotty patterns for the Gray-Scott model in R^2	en
dc.type	Research Paper	en
dc.identifier.doi	https://doi.org/10.1111/1467-9590.00231	-
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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