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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/19352
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dc.contributor.authorAo, W-
dc.contributor.authorWei, J-
dc.contributor.authorWinter, M-
dc.date.accessioned2019-10-18T14:22:07Z-
dc.date.available2019-10-18T14:22:07Z-
dc.date.issued2019-10-10-
dc.identifierORCID iD: Matthias Winter https://orcid.org/0000-0003-4800-7132-
dc.identifier.citationAo, W., Wei, J. and Winter, M. (2020) 'Stable spike clusters on a compact two-dimensional Riemannian manifold', Journal of Differential Equations, 268 (7), pp. 3665 - 3704. doi: 10.1016/j.jde.2019.10.005.en_US
dc.identifier.issn0022-0396-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/19352-
dc.description.abstractCopyright © 2019 The Authors. We consider the Gierer-Meinhardt system with small inhibitor diffusivity and very small activator diffusivity on a compact two-dimensional Riemannian manifold without boundary. We study steady state solutions which are far from spatial homogeneity. We construct two different spike clusters, each consisting of two spikes, which both approach the same nondegenerate local maximum point of the Gaussian curvature. We show that one of these spike clusters is stable, the other one is unstable.-
dc.format.extent3665 - 3704-
dc.format.mediumPrint-Electronic-
dc.language.isoenen_US
dc.rightsCopyright © 2019 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (https://creativecommons.org/licenses/by/4.0/).-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectpattern formation-
dc.subjectmathematical biology-
dc.subjectsingular perturbation-
dc.subjectreaction-diffusion system-
dc.subjectRiemannian manifold-
dc.titleStable spike clusters on a compact two-dimensional Riemannian manifolden_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.1016/j.jde.2019.10.005-
dc.relation.isPartOfJournal of Differential Equations-
pubs.issue7-
pubs.publication-statusPublished-
pubs.volume268-
dc.identifier.eissn1090-2732-
dc.rights.holderThe Authors-
Appears in Collections:Dept of Mathematics Research Papers

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