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2001 Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system
Xinfu Chen, Michał Kowalczyk
Adv. Differential Equations 6(7): 847-872 (2001).

Abstract

This paper is devoted to the rigorous analysis of the dynamics of single-spike solutions in the shadow Gierer-Meinhardt system. We derive a system of ODEs which governs the motion of the spike. Careful analysis of this system shows that the spike moves exponentially slowly towards the point on the boundary that is the closest to the spike.

Citation

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Xinfu Chen. Michał Kowalczyk. "Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system." Adv. Differential Equations 6 (7) 847 - 872, 2001.

Information

Published: 2001
First available in Project Euclid: 2 January 2013

zbMATH: 1032.35025
MathSciNet: MR1828999

Subjects:
Primary: 35B25
Secondary: 35C20, 35K55, 92C15, 92C40

Rights: Copyright © 2001 Khayyam Publishing, Inc.

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Vol.6 • No. 7 • 2001
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