反応拡散方程式系におけるパターン形成に対する計算機援用証明

Name of awarding university/degree: 九州大学,博士（数理学）,DOCTOR OF PHILOSOPHY (Mathematics)

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Summary, etc.：: In this paper we give a method by computer-assistance to prove a pattern formation. As a typical model we consider two dimensional time-dependent reac...

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Abstract / 1 Introduction / 2 Some notations and projection error estimation / 3 Approximate solution / 4 Veri cation / 5 Eigenvalue excluding / 6 The domain of attraction / 7 Numerical Results / 8 Conclusions / Acknowledgements / References

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Material Type: 博士論文
Title: 反応拡散方程式系におけるパターン形成に対する計算機援用証明
Author/Editor: 蔡, 婷
Author Heading: 蔡, 婷サイ, シュウテイ
Publication Date: 2012-03-27
Publication Date (W3CDTF): 2012-03-27
Alternative Title: A computer-assisted proof for the pattern formation on reaction-diffusion systems
Degree grantor/type: 九州大学
Date Granted: 2012-03-27
Dissertation Number: 甲第10648号
Degree Type: 博士（数理学）
DOCTOR OF PHILOSOPHY (Mathematics)
Text Language Code: eng
Subject Heading: reaction-diffusion systems
computer-assisted proof
Target Audience: 一般
Note (General): 主1-参1
数理
DOI: 10.15017/21706
Access Restrictions: インターネット公開
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 九州大学 : 九州大学学術情報リポジトリ