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DC Field | Value | Language |
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dc.contributor.author | Winter, M | - |
dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 6 | en |
dc.date.accessioned | 2007-07-19T09:35:40Z | - |
dc.date.available | 2007-07-19T09:35:40Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Equadiff 2003, 813-818, World Scientific, Hackensack, NJ, 2005 | en |
dc.identifier.isbn | 981-256-169-2 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/1063 | - |
dc.description.abstract | We study the Gray-Scott model in a bounded two dimensional domain and establish the existence and stability of {\bf symmetric} and {\bf asymmetric} multiple spotty patterns. The Green's function and its derivatives together with two nonlocal eigenvalue problems both play a major role in the analysis. For symmetric spots, we establish a threshold behavior for stability: If a certain inequality for the parameters holds then we get stability, otherwise we get instability of multiple spot solutions. For asymmetric spots, we show that they can be stable within a narrow parameter range. | en |
dc.format.extent | 173400 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | World Scientific | en |
dc.subject | Pattern formation; Self-replication; Spotty solutions; Reaction-diffusion systems | en |
dc.title | Existence and stability of multiple spot solutions for the gray-scott model in R^2 | en |
dc.type | Book Chapter | en |
dc.identifier.doi | https://doi.org/10.1142/9789812702067_0135 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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FullText.pdf | 169.34 kB | Adobe PDF | View/Open |
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