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- MATSUDA MAMI
- Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo
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- MIYATAKE SADAO
- Department of Mathematics, Faculty of Science, Nara Women's University
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説明
We examine the bifurcation curves of solutions to the Kolmogorov problem and present the exact formula for the second derivatives of their components concerning Reynolds numbers at bifurcation points. Using this formula, we show the supercriticality of these curves in the case where the ratio of periodicities in two directions is close to one. In order to prove this, we construct an inverse matrix of infinite order, whose elements are given by sequences generated by continued fractions. For this purpose, we investigate some fundamental properties of these sequences such as quasi-monotonicity and exponential decay from general viewpoints.
収録刊行物
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 54 (3), 329-365, 2002
東北大学大学院理学研究科数学専攻
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詳細情報 詳細情報について
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- CRID
- 1390282680091909504
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- NII論文ID
- 110000026987
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- NII書誌ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 1916632
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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- 使用不可