Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/566
Title: | Asymmetric spotty patterns for the Gray-Scott model in R^2 |
Authors: | Winter, M Wei, J |
Keywords: | Asymmetric patterns; Spotty solutions;Self-replication; Reaction-diffusion system |
Issue Date: | 2003 |
Publisher: | Blackwell |
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. |
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. |
URI: | http://bura.brunel.ac.uk/handle/2438/566 |
DOI: | https://doi.org/10.1111/1467-9590.00231 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
FullText.pdf | 306.75 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.