BIFURCATION ANALYSIS OF KOLMOGOROV FLOWS

  • 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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Abstract

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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Details 詳細情報について

  • CRID
    1390282680091909504
  • NII Article ID
    110000026987
  • NII Book ID
    AA00863953
  • DOI
    10.2748/tmj/1113247600
  • ISSN
    2186585X
    00408735
  • MRID
    1916632
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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