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2014 | OriginalPaper | Buchkapitel

6. Existence and Stability of Spikes for the Gierer-Meinhardt System in Two Dimensions

verfasst von : Juncheng Wei, Matthias Winter

Erschienen in: Mathematical Aspects of Pattern Formation in Biological Systems

Verlag: Springer London

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Abstract

We prove results on the existence and stability of multiple spikes for the Gierer-Meinhardt system in a bounded, smooth two-dimensional domain. The case of symmetric spikes is studied in detail and for asymmetric spikes the results are stated.

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Metadaten
Titel
Existence and Stability of Spikes for the Gierer-Meinhardt System in Two Dimensions
verfasst von
Juncheng Wei
Matthias Winter
Copyright-Jahr
2014
Verlag
Springer London
DOI
https://doi.org/10.1007/978-1-4471-5526-3_6