BIFURCATION ANALYSIS OF KOLMOGOROV FLOWS
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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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Description
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.
Journal
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 54 (3), 329-365, 2002
Mathematical Institute, Tohoku University
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Details 詳細情報について
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- CRID
- 1390282680091909504
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- NII Article ID
- 110000026987
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- NII Book ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 1916632
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- Text Lang
- en
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- Data Source
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- JaLC
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- CiNii Articles
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- Abstract License Flag
- Disallowed