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DC Field | Value | Language |
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dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 47 | en |
dc.date.accessioned | 2007-01-22T14:55:25Z | - |
dc.date.available | 2007-01-22T14:55:25Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Winter, M. and Wei, J. (2003) 'Existence and stability of multiple spot solutions for the Gray-Scott model in R^2$', Physica D: Nonlinear Phenomena, 176(3-4), pp. 147-180. doi:10.1016/S0167-2789(02)00743-1. | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/567 | - |
dc.description.abstract | Existence and Stability of Multiple Spot Solutions for the Gray-Scott Model in $R^2$ In this paper, we rigorously prove the existence and stability of multiple spot patterns for the Gray-Scott system in a two dimensional domain which are far from spatial homogeneity. The Green's function and its derivatives together with two nonlocal eigenvalue problems both play a major role in the analysis. 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. The exact asymptotics of the critical thresholds are obtained. | en |
dc.format.extent | 336918 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.subject | Pattern formation; Self-replication; | en |
dc.subject | 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 | Research Paper | en |
dc.identifier.doi | https://doi.org/10.1016/s0167-2789(02)00743-1 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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