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Communications on Pure & Applied Analysis
Article . 2006 . Peer-reviewed
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Communications on Pure & Applied Analysis
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https://dx.doi.org/10.3934/cpa...
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Spike solutions to a nonlocal differential equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Communications on Pure & Applied Analysis, volume 5, pages 85-95 (issn: 1553-5258, Copyright policy )
Authors: Changfeng Gui; Zhenbu Zhang;

doi: 10.3934/cpaa.2006.5.85

Spike solutions to a nonlocal differential equation

Abstract

In this paper we consider a nonlocal differential equation, which is a limiting equation of one dimensional Gierer-Meinhardt model. We study the existence of spike steady states and their stability. We also construct a single-spike quasi-equilibrium solution and investigate the dynamics of spike-like solutions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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