Singular Limit Problem of Reaction-Diffusion System of Activator-Inhibitor Type
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- Oshita Yoshihito
- (現)岡山大学大学院自然科学研究科
Bibliographic Information
- Other Title
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- 活性因子・抑制因子型反応拡散系の特異極限問題とパターン形成
- カッセイ インシ ヨクセイ インシガタ ハンノウ カクサンケイ ノ トクイ キョクゲン モンダイ ト パターン ケイセイ
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Abstract
Reaction-diffusion system of activator-inhibitor type is studied. We considered the functionals containing a small parameter and a long-range interaction. Such functionals arise from the stationary problem of reaction-diffusion system and from the model for phase separation in diblock copolymers. In one dimensional case, we identify global minimizers on an interval of arbitrary length. In two dimensional case, we show that hexagonal structure has the least energy among all periodic dot patterns. Also we show the existence of non-radial solutions.
Journal
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- Bulletin of the Japan Society for Industrial and Applied Mathematics
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Bulletin of the Japan Society for Industrial and Applied Mathematics 17 (3), 215-226, 2007
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680741854848
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- NII Article ID
- 110006436329
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- NII Book ID
- AN10288886
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- ISSN
- 09172270
- 24321982
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- NDL BIB ID
- 8962978
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed