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Multi-bump ground states of the Gierer–Meinhardt system in R2

✍ Scribed by Manuel del Pino; Michał Kowalczyk; Juncheng Wei

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
221 KB
Volume
20
Category
Article
ISSN
0294-1449

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✦ Synopsis

We construct multi-bump ground-state solutions for this system for all sufficiently small σ . The centers of these bumps are located at the vertices of a regular polygon, while the bumps resemble, after a suitable scaling in their A-coordinate, the unique radially symmetric solution of

A similar construction is made for vertices of two concentric polygons and a general procedure for detection of organized finite patterns is suggested.

📜 SIMILAR VOLUMES

Analysis of reduced density matrices in
Analysis of reduced density matrices in the co-ordinate representation. III. Electron density and correlation in the ground states of H2 and the H6 ring system within some approximations of the simple LCAO type
✍ Gunnar Sperber 📂 Article 📅 1972 🏛 John Wiley and Sons 🌐 English ⚖ 683 KB

## Abstract The electron density and spatial correlation as given by the MO, VB and AMO methods for H~2~ and H~6~ are studied by means of diagrams. For comparison, diagrams representing accurate wave functions for H~2~ are also given. The study of model functions representing localized bonds leads