Title of article
Pattern formations in two-dimensional Gray–Scott model: existence of single-spot solutions and their stability
Author/Authors
Wei، نويسنده , , Juncheng، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
29
From page
20
To page
48
Abstract
The Gray–Scott model has been studied extensively in recent years. However, most of the results are in one dimension. In this paper, we study the 2D Gray–Scott system. We first construct two single-spot solutions and then we establish the stability and instability of such solutions in terms of the parameters involved.
Keywords
Spotty solutions , Self-replication , reaction–diffusion system , pattern formation
Journal title
Physica D Nonlinear Phenomena
Serial Year
2001
Journal title
Physica D Nonlinear Phenomena
Record number
1724092
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