Please use this identifier to cite or link to this item:
Title: Existence and stability of multiple spot solutions for the gray-scott model in R^2
Authors: Winter, M
Wei, J
Keywords: Pattern formation; Self-replication; Spotty solutions; Reaction-diffusion systems
Issue Date: 2005
Publisher: World Scientific
Citation: Equadiff 2003, 813-818, World Scientific, Hackensack, NJ, 2005
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.
ISBN: 981-256-169-2
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

Files in This Item:
File Description SizeFormat 
36-equadiffproc4.pdf169.34 kBAdobe PDFView/Open

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