BIFURCATION ANALYSIS OF KOLMOGOROV FLOWS

DOI 被引用文献1件 参考文献8件
  • MATSUDA MAMI
    Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo
  • 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.

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詳細情報 詳細情報について

  • CRID
    1390282680091909504
  • NII論文ID
    110000026987
  • NII書誌ID
    AA00863953
  • DOI
    10.2748/tmj/1113247600
  • ISSN
    2186585X
    00408735
  • MRID
    1916632
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

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