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VOL. 47.2 | 2007 Stability analysis for a stripe solution in the Gierer-Meinhardt system
Kota Ikeda

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Abstract

We consider the Gierer-Meinhardt system on a rectangle in two-dimensional space. This system is considered to generate some spiky pattern for a wide range of parameters. On a rectangle, this system also has a stripe solution, which is known to be unstable from numerical results. In this paper, we show the instability of the stripe pattern in a mathematically rigorous manner by using the SLEP method.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1144.35397
MathSciNet: MR2387256

Digital Object Identifier: 10.2969/aspm/04720573

Rights: Copyright © 2007 Mathematical Society of Japan

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