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J-GLOBAL ID:200901057610970036   Update date: Nov. 21, 2023

Kubo Takayuki

クボ タカユキ | Kubo Takayuki
Affiliation and department:
Research field  (4): Basic analysis ,  Mathematical analysis ,  Applied mathematics and statistics ,  Basic mathematics
Research keywords  (2): 精度保証付き数値計算 ,  流体数学
Research theme for competitive and other funds  (5):
  • 2019 - 2023 近似パラメータを含むNavier-Stokes方程式の数学解析
  • 2015 - 2019 流体力学の非定常問題への実解析的・数値解析的アプローチ
  • 2012 - 2013 半群理論を用いた放物型偏微分方程式の計算機援用解析の確立
  • 2009 - 2011 流体力学に現れる非線形偏微分方程式の半空間での解析とその応用
  • 2006 - 2008 流体力学に現れる非線形偏微分方程式の定常解に関する研究
Papers (25):
  • Hiroki Kikuchi, Takayuki Kubo, Ranmaru Matsui. Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method. Journal of Mathematical Fluid MEchanics. 2022. 24. 1. 147-164
  • Takayuki Kubo, Ranmaru Matsui. On pressure stabilization method for nonstationary navier-stokes equations. Communications on Pure and Applied Analysis. 2018. 17. 6. 2283-2307
  • Kobayashi, Takayuki, Kubo, Takayuki, Nakamura, Kenji. On a local energy decay estimate of solutions to the hyperbolic type Stokes equations. JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. 264. 10. 6061-6081
  • Takayasu, Akitoshi, Mizuguchi, Makoto, Kubo, Takayuki, Shin'ichi, Oishi. Accurate method of verified computing for solutions of semilinear heat equations. Reliable computing. 2017. 25. 74-99
  • Makoto Mizuguchi, Akitoshi Takayasu, Takayuki Kubo, Shin'Ichi Oishi. A METHOD OF VERIFIED COMPUTATIONS FOR SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS USING SEMIGROUP THEORY. SIAM JOURNAL ON NUMERICAL ANALYSIS. 2017. 55. 2. 980-1001
more...
Books (5):
  • 数学リテラシー
    共立出版 2018
  • The proceedings on Mathematical Fluid Dynamics and Nonlinear Wave
    Gakkotosho 2015
  • PROCEEDINGS OF THE 2013 10TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY: NEW GENERATIONS
    IEEE COMPUTER SOC 2013 ISBN:9780769549675
  • 非線形偏微分方程式
    朝倉書店 2012
  • On the Stokes and Navier-Stokes flows in the perturbed half-space and the apeture domain
    2005
Lectures and oral presentations  (2):
  • Existence of weak solution to the nonstationary Navier-Stokes equations approximated by the pressure stabilization method
    (International Workshop on Multiphase Flows: Analysis, Modelling and Numerics 2022)
  • Stokes半群の重み付きLp-Lq評価とそのNavier-Stokes方程式への応用
    (第9回弘前解析セミナー 2014)
Education (3):
  • 2003 - 2005 早稲田大学 理工学研究科 数理科学専攻
  • 2001 - 2003 早稲田大学 理工学研究科 数理科学専攻
  • 1997 - 2001 早稲田大学 理工学部 数理科学科
Professional career (3):
  • 学士(理学) (早稲田大学)
  • 修士(理学) (早稲田大学)
  • 博士(理学) (早稲田大学)
Work history (5):
  • 2013/05/01 - 2019/09/30 University of Tsukuba Faculty of Pure and Applied Sciences Assistant Professor
  • 2011/10/01 - 2013/04/30 筑波大学 数理物質系数学域 助教
  • 2008/11/17 - 2011/09/30 筑波大学 数理物質科学研究科数学専攻 助教
  • 2006/04/01 - 2008/11/16 早稲田大学 理工学術院 客員講師
  • 2005/07/01 - 2006/03/31 早稲田大学 理工学術院 客員研究助手
Association Membership(s) (3):
応用数理学会 ,  日本数学会 ,  The Japan Society for Industrial and Applied Mathematics
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