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2010 Fiscal Year Self-evaluation Report

Continuations of a Riemann surface and dynamics of viscos fluid --- study of conformal embeddings and associated Poisuielle flow

Research Project

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Project/Area Number 20540174
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionHiroshima University

Principal Investigator

SHIBA Masakazu  Hiroshima University, 大学院・工学研究院, 名誉教授 (70025469)

Project Period (FY) 2008 – 2012
Keywordsリーマン面 / 接続 / 等角写像 / スパン / 流体力学 / 粘性流体 / ナヴィエ・ストークスの微分方程式 / ポアズイユ流
Research Abstract

リーマン而の接続(等角的埋め込み)に際して登場する補集合の面積を表す関数の流体力学的な意味,特にボアズイユ流と呼ばれる粘性流体の流れとの関係を明らかにすること

  • Research Products

    (10 results)

All 2011 2010 2009 2008

All Journal Article (5 results) (of which Peer Reviewed: 4 results) Presentation (5 results)

  • [Journal Article] Measuring the sizes of handles of Riemann surfaces2011

    • Author(s)
      Masumoto, M.
    • Journal Title

      Proc. of 13th Conf on Real and Complex Analysis

      Pages: 95-100

    • Peer Reviewed
  • [Journal Article] Con for-mal mapping between rectangles with a crossing slit2010

    • Author(s)
      Bah, A.M. Ito, M., Maitani, F.
    • Journal Title

      Bulletin of Kyoto Institute of Technology Vol.4

      Pages: 1-8

    • Peer Reviewed
  • [Journal Article] Direct Numerical Simulation of Impinging Shock Wave/Transitional Boundary Layer Interaction2010

    • Author(s)
      Tokura, Y., Maekawa, H.
    • Journal Title

      Proc. 7th International Conference on Fluid Dynamics

      Pages: 263-264

  • [Journal Article] A Maple package for verifying ultradiscrete soliton solutions.2009

    • Author(s)
      Gao, M., Ito, M.
    • Journal Title

      Computer Physics Communications Vol.180

      Pages: 1196-1205

    • Peer Reviewed
  • [Journal Article] Decaying solution of the Navier-Stokes flow without surface tension2009

    • Author(s)
      Hatava, Y.
    • Journal Title

      J.Math. Kyoto Univ. Vol.49

      Pages: 691-717

    • Peer Reviewed
  • [Presentation] 非古典的なPoiseuille2011

    • Author(s)
      柴雅和, 伊藤雅明, 幡谷泰史
    • Organizer
      日本数学会中国・四国支部例会
    • Place of Presentation
      鳴門市
    • Year and Date
      2011-01-30
  • [Presentation] Flows on a Riemann surface ex-tendable beyond the ideal boundary and generalizations of the Poiseuille flow2008

    • Author(s)
      Shiba M.
    • Organizer
      Inter-national Workshop on Potential Theory
    • Place of Presentation
      Tokyo
    • Year and Date
      2008-12-18
  • [Presentation] L_0主関数に関する2階変分公式と開リーマン面のスパンの動きについて2008

    • Author(s)
      濱野佐知子, 米谷文男, 山口博史
    • Organizer
      日本数学会
    • Place of Presentation
      東京
    • Year and Date
      2008-09-25
  • [Presentation] Non preserving property arising in a free boundary problem2008

    • Author(s)
      Hataya Y.
    • Organizer
      Workshop Mathe-matical Fluid Dynamics
    • Place of Presentation
      Darmstad (ドイツ)
    • Year and Date
      2008-09-09
  • [Presentation] A Generalization of the Hagen-Poiseuille Flow2008

    • Author(s)
      Shiba M.
    • Organizer
      The Fifth World Congress of Nonlinear Analysts
    • Place of Presentation
      Orlando, Florida (アメリカ合衆国)
    • Year and Date
      2008-07-08

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Published: 2012-02-13   Modified: 2016-04-21  

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