Brunel University Research Archive (BURA) >
Research Areas >
Mathematical Science >

Please use this identifier to cite or link to this item:

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
Publication Date: 2003
Publisher: Blackwell
Citation: Stud Appl Math 110(2003): 63-102
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.
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

Files in This Item:

File Description SizeFormat
21-gsas12.pdf306.75 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.