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Kubo Takayuki

Affiliation
Faculty of Pure and Applied Sciences
Official title
Assistant Professor
URL
Email
 
Research fields
Foundations of mathematics/Applied mathematics
Mathematical analysis
Research keywords
Numerical verification for solution to partial differential equations
Navier-Stokes flow
Stability of stationary solution
analysis in half-space and perturbed half-space
Research projects
近似パラメータを含むNavier-Stokes方程式の数学解析2019-04 -- 2023-03久保隆徹日本学術振興会/基盤研究(C)4,030,000Yen
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2015-04 -- 2019-03久保隆徹日本学術振興会/基盤研究(C)/910,000Yen
半群理論を用いた放物形偏微分方程式の計算機援用解析の確立2012-11 -- 2013-10久保隆徹公益財団法人 住友財団/
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2009 -- 2011久保隆徹Japan Society of for the Promotion of Science/若手研究(B)3,640,000Yen
Study on stationary solution to non-linear PDE in Fluid Dynamics2006 -- 2008久保隆徹Japan Society of for the Promotion of Science/若手研究(B)1,170,000Yen
Career history
2013-05 -- (current)Faculty of Pure and Applied Sciences, University of Tsukuba Lecturer
2008-11 -- 2013-04Faculty of Pure and Applied Sciences, University of Tsukuba Assistant Professor
Degree
2005-09Doctor of Science, Waseda UniversityWaseda University
Academic societies
2015-04 -- (current)The Japan Society for Industrial and Applied Mathematics
2003 -- (current)日本数学会
Articles
  • Accurate method of verified computing for solutions of semilinear heat equations
    Takayasu Akitoshi; Mizuguchi Makoto; Kubo Takayuki; Shin'...
    Reliable computing/25/pp.74-99, 2017-07
  • On pressure stabilization method for nonstationary Navier-Stokes equations
    Kubo Takayuki; Matsui Ranmaru
    Communications on Pure and Applied Analysis/17(6)/pp.2283-2307, 2018-11
  • On a local energy decay estimate of solutions to the hyperbolic type Stokes equations
    Kobayashi Takayuki; Kubo Takayuki; Nakamura Kenji
    JOURNAL OF DIFFERENTIAL EQUATIONS/264(10)/pp.6061-6081, 2018-05
  • A method of verified computations for solutions to semilinear parabolic equations using semigroup theory
    Mizuguchi Makoto; Takayasu Akitoshi; Kubo Takayuki; Oishi...
    SIAM J. Numer. Anal./55(2)/pp.980-1001, 2017-05
  • Numerical verification for existence of a global-in-time solution to semilinear parabolic equations
    Mizuguchi Makoto; Takayasu Akitoshi; Kubo Takayuki; Oishi...
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS/315/pp.1-16, 2017-05
  • On the embedding constant of the Sobolev type inequality for fractional derivatives
    Mizuguchi Makoto; Takayasu Akitoshi; Kubo Takayuki; Oishi...
    Nonlinear Theory and Its Applications, IEICE/7(3)/pp.386-394, 2016
  • 発展作用素を用いた半線形放物型方程式に対する解の精度保証付き数値計算法 (現象解明に向けた数値解析学の新展開)
    高安 亮紀; 水口 信; 久保 隆徹; 大石 進一
    RIMS Kokyuroku/1995/pp.122-131, 2016-04
  • Verified Computations for Solutions to Semilinear Parabolic Equations Using the Evolution Operator
    Takayasu Akitoshi; Mizuguchi Makoto; Kubo Takayuki; Oishi...
    Mathematical Aspects of Computer and Information Sciences/pp.218-223, 2016-01
  • Weighted Lp-Lq estimates of Stokes semigruoup in half-space and its application to the Navier-Stokes equations
    久保 隆徹
    Advances in Mathematical Fluid Mechanics, Recent Developments of Mathematical Fluid Mechanics/pp.337-350, 2016
  • On the Asymtotic stability for small initial disturbance of Navier-Stokes flow in a two-dimensional aperture domain
    久保 隆徹
    Gakuto International Series, Mathematical Sciences and Application, Mathematical Fluid Dynamics and Nonlinear Wave/pp.183-192, 2015
  • ON SOME TWO PHASE PROBLEM FOR COMPRESSIBLE AND COMPRESSIBLE VISCOUS FLUID FLOW SEPARATED BY SHARP INTERFACE
    Kubo Takayuki; Shibata Yoshihiro; Soga Kohei
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS/36(7)/pp.3741-3774, 2016-07
  • On the R-boundedness for the two phase problem: compressible-incompressible model problem
    Kubo Takayuki; Shibata Yoshihiro; Soga Kohei
    BOUNDARY VALUE PROBLEMS, 2014-09
  • On two phase problem : compressible-compressible model problem (Mathematical Analysis of Viscous Incompressible Fluid)
    久保 隆徹
    RIMS Kokyuroku/1905/pp.61-72, 2014-07
  • Weighted Lp-Lq estimates of the Stokes semigroup in some unbounded domains
    Kubo Takayuki
    Tsukuba journal of mathematics/37(2)/pp.179-205, 2013-12
  • On the Galerkin-wavelet method for higher order differential equations
    Fukuda Naohiro; Kinoshita Tamotu; Kubo Takayuki
    Bulletin of the Korean Mathematical Society/50(3)/pp.963-982, 2013-5
  • On the Stokes and Navier-Stokes equations in a perturbed half-space
    Takayuki Kubo; Yoshihiro Shibata
    Advances in Differentical Equations/10(6)/p.695-720, 2005-01
  • Numerical existence theorem for solutions of two-point boundary value problems of nonlinear differential equations
    Takayasu Akitoshi; Oishi Shinichi; Kubo Takayuki
    Nonlinear Theory and Its Applications, IEICE/1(1)/pp.105-118, 2010-01
  • Numerical Verification Method for Nonlinear Operator Equations
    高安 亮紀; 大石 進一; 久保 隆徹
    IEICE technical report. Nonlinear problems/109(269)/pp.45-49, 2009-11
  • Method of Computer Assisted Proof for Dirichelet Problem of Nonlinear Elliptic Equations
    大石 進一; 高安 亮紀; 久保 隆徹
    IEICE technical report. Circuits and systems/110(165)/pp.61-64, 2010-07
  • Method of Computer Assisted Proof for Dirichelet Problem of Nonlinear Elliptic Equations
    大石 進一; 高安 亮紀; 久保 隆徹
    IEICE technical report. Nonlinear problems/110(166)/pp.61-64, 2010-07
  • Numerical Existence Proofs and Guaranteed Error Bounds for Solutions to Two-Point Boundary Value Problems (Recent Developments of Numerical Analysis and Numerical Computation Algorithms)
    高安 亮紀; 大石 進一; 久保 隆徹
    RIMS Kokyuroku/1719/pp.48-60, 2010-11
  • Weighted estimate for the Stokes semigroup in half-space and a perturbed half-space (Mathematical Analysis in Fluid and Gas Dynamics)
    久保 隆徹; Takayuki Kobayashi
    数理解析研究所講究録/1730/pp.1-17, 2011-02
  • On the Stokes and Navier-Stokes equations in a perturbed half-space and an aperture domain
    Takayuki Kubo
    Asymptotic Analysis and Singularities, Hyperbolic and dispersive PDEs and fluid mechanics, 47-1 Advanced Studies in Pure Mathematics/p.169-187, 2007-01
  • The Stokes and Navier-Stokes equations in an aperture domain
    Takayuki Kubo
    J. Math. Soc. Japan/59(3)/p.837-859, 2007-01
  • Periodic solutions of the Navier-Stokes equations in a perturbed half-space and an aperture domain
    Takayuki Kubo
    Mathematical Methods in the Applied Sciences/28(11)/p.1341-1357, 2005-01
Books
Conference, etc.
  • Stokes半群の重み付きLp-Lq評価とそのNavier-Stokes方程式への応用
    久保 隆徹
    第9回弘前解析セミナー/2014-10-7--2014-10-7
Teaching
2018-10 -- 2019-02Special Research on Mathematics IBUniversity of Tsukuba.
2018-10 -- 2019-02Special Research on Mathematics IIBUniversity of Tsukuba.
2018-10 -- 2019-02Special Research on Mathematics IIIBUniversity of Tsukuba.
2018-10 -- 2019-02Seminar on Special Research on Mathematics IIIBUniversity of Tsukuba.
2018-04 -- 2018-08Special Research on Mathematics IAUniversity of Tsukuba.
2018-04 -- 2018-08Special Research on Mathematics IIAUniversity of Tsukuba.
2018-04 -- 2018-08Special Research on Mathematics IIIAUniversity of Tsukuba.
2018-04 -- 2018-08Seminar on Special Research on Mathematics IIIAUniversity of Tsukuba.
2018-10 -- 2019-02Frontiers of MathematicsUniversity of Tsukuba.
2018-04 -- 2018-08Frontiers of MathematicsUniversity of Tsukuba.
Talks
  • 非定常Navier-Stokes方程式に対する圧力安定化法について
    久保 隆徹
    日本流体力学会/2018-09
  • Analysis of non-stationary Navier{Stokes equations approximated by the pressure stabilization method
    Kubo Takayuki
    研究集会「流体と気体の数学解析」/2018-07
  • Weighted Lp-Lq estimates of Stokes semigroup and its application to Navier-Stokes equations
    Kubo Takayuki
    Ito Workshop on Partial Differential Equtions/2016-8-22--2016-8-22
  • Stokes半群の重み付きLp-Lq評価とそのNavier-Stokes方程式への応用
    久保 隆徹
    第9回弘前解析セミナー/2014-10-7--2014-10-7

(Last updated: 2019-07-14)