TAKEUCHI TAIKI
Organization
Institute of Mathematics for Industry Division of Advanced Mathematics Technology Assistant Professor
Title
Assistant Professor
Research Areas
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Natural Science / Mathematical analysis
Research History
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Kyushu University Institute of Mathematics for Industry Assistant Professor
2024.10 - Present
Country：Japan
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Kanagawa University Faculty of Engineering Part-time Teacher
2024.4 - Present
Country：Japan
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Kyoto University Graduate School of Science Research Fellowship for Young Scientists (PD)
2024.4 - 2024.9
Country：Japan
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Waseda University Faculty of Science and Engineering Research Fellowship for Young Scientists (PD)
2023.4 - 2024.3
Country：Japan
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Waseda University Graduate School of Fundamental Science and Engineering Research Fellowship for Young Scientists (DC2)
2022.4 - 2023.3
Country：Japan
Education
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Waseda University Graduate School of Fundamental Science and Engineering Doctoral Program in Department of Pure and Applied Mathematics
2021.4 - 2023.3
Country： Japan
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Waseda University Graduate School of Fundamental Science and Engineering Master's Program in Department of Pure and Applied Mathematics
2020.4 - 2021.3
Country： Japan
Notes： Master's Program (Early comletion)
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Waseda University School of Fundamental Science and Engineering Department of Mathematics
2017.4 - 2020.3
Country： Japan
Awards
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FY 2020 Azusa Ono Memorial Award (Award of academic work)
2021.3 Waseda University The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework
Taiki Takeuchi
Papers
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A new proof of the Gagliardo–Nirenberg and Sobolev inequalities: Heat semigroup approach Reviewed International journal
Tohru Ozawa; Taiki Takeuchi
Proceedings of the American Mathematical Society, Series B 11 371 - 377 2024.7 （ eISSN:2330-1511 ）
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Breakdown of C^∞-smoothing effects of solutions to the semilinear equation in the whole space Reviewed International journal
Taiki Takeuchi
Communications on Pure and Applied Analysis 23 ( 6 ) 830 - 872 2024.6
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Remarks on the smoothing effect of the heat semigroup on Ḃ_{p,∞}^s(R^n) Reviewed International journal
Taiki Takeuchi
Partial Differential Equations in Applied Mathematics 10 100718 2024.6 （ ISSN:2666-8181 ）
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Refined Decay Estimate and Analyticity of Solutions to the Linear Heat Equation in Homogeneous Besov Spaces Reviewed International journal
Tohru Ozawa; Taiki Takeuchi
Journal of Fourier Analysis and Applications 29 ( 5 ) Paper No. 61, 27 pp 2023.10 （ ISSN:1069-5869 eISSN:1531-5851 ）
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Various regularity estimates for the Keller-Segel-Navier-Stokes system in Besov spaces Reviewed International journal
Taiki Takeuchi
Journal of Differential Equations 343 606 - 658 2023.1 （ ISSN:0022-0396 ）
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Maximal Lorentz regularity for the Keller–Segel system of parabolic–elliptic type Reviewed International journal
Taiki Takeuchi
Journal of Evolution Equations 21 ( 4 ) 4619 - 4640 2021.12 （ ISSN:1424-3199 eISSN:1424-3202 ）
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Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces Reviewed International journal
Taiki Takeuchi
Partial Differential Equations in Applied Mathematics 4 100174 2021.12 （ ISSN:2666-8181 ）
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The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework Reviewed International journal
Taiki Takeuchi
Journal of Differential Equations 298 609 - 640 2021.10 （ ISSN:0022-0396 ）
Presentations
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Global well-posedness for the Keller–Segel–Navier–Stokes system with rotational flux Invited
Taiki Takeuchi
2024.11
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Taiki Takeuchi, Keiichi Watanabe
2024.9
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On the generalized Chemin-Lerner spaces via the Lorentz spaces in time Invited
Taiki Takeuchi
2024.8
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The Lorentz-Chemin-Lerner space and its characterizations International conference
Taiki Takeuchi
The 11th East Asian Conference in Harmonic Analysis and Applications (Kyoto University) 2024.8
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Taiki Takeuchi
2024.8
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Real interpolations on the Lorentz-Besov-type spaces Invited
Taiki Takeuchi
2024.6
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Breakdown of smoothness of solutions to the semilinear heat equation Invited
Taiki Takeuchi
2024.4
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On regularities of sign-changing solutions of the semilinear heat equation Invited
Taiki Takeuchi
2024.4
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On the large-time behaviors of global solutions to the chemotaxis-fluid system in Lorentz spaces Invited International conference
Taiki Takeuchi
The 7th International Workshop on the Mathematical Analysis of Chemotaxis (Kyoto University of Education) 2024.3
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On the breakdown of C^∞-smoothness for the semilinear heat equation Invited
Taiki Takeuchi
2024.2
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Threshold of regularities of solutions to the semilinear heat equation Invited
Taiki Takeuchi
2023.11
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線形および半線形熱方程式の解の平滑化効果 Invited
Taiki Takeuchi
2023.11
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Breakdown of C^∞-smoothing effects for the Fujita type equation
Taiki takeuchi
2023.9
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Breakdown of smoothing effects of solutions to the semilinear heat equation
Taiki Takeuchi
2023.9
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Vanishing viscosity limit for the Navier-Stokes system and its related topics Invited International conference
Taiki Takeuchi
Seminari M.A.P. Metodi analitici e probabilistici (Online) 2023.4
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Vanishing viscosity method for the Keller-Segel-Navier-Stokes system Invited International conference
Taiki Takeuchi
The 6th International Workshop on the Mathematical Analysis of Chemotaxis (Leibniz University Hannover) 2023.2
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On the inviscid limit problem for the Keller-Segel-Navier-Stokes system Invited
Taiki Takeuchi
2023.1
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Inviscid limits for the Keller-Segel-Navier-Stokes system of parabolic-elliptic type Invited International conference
Taiki Takeuchi
International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics (Waseda University) 2022.12
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Inviscid limits of solutions to the Keller-Segel-Navier-Stokes system Invited
Taiki Takeuchi
2022.12
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On the local well-posedness and inviscid limits for the Keller-Segel-Navier-Stokes system
Taiki Takeuchi
2022.9
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On the vanishing viscosity method for the Keller-Segel-Navier-Stokes system
Taiki Takeuchi
2022.9
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Vanishing viscosity limit of solutions of the Keller-Segel-Navier-Stokes system Invited International conference
Taiki Takeuchi
International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics” (Waseda University) 2022.7
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On the inviscid limits for the Keller-Segel-Navier-Stokes system of parabolic-elliptic type Invited
Taiki Takeuchi
2022.6
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Inviscid limit problem for the Keller-Segel-Navier-Stokes system of parabolic-elliptic type International conference
Taiki Takeuchi
Young Researchers’ Forum on Mathematical Fluid Mechanics (Online) 2022.6
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On the maximal Lorentz regularity theorem for the Keller-Segel system of parabolic-parabolic type Invited International conference
Taiki Takeuchi
International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics (Online) 2021.12
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On the Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework
Taiki Takeuchi
2021.9
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On the Keller-Segel system of parabolic-parabolic type with initial data in homogeneous Besov spaces
Taiki Takeuchi
2021.8
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The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework Invited
Taiki Takeuchi
2021.3
Professional Memberships
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The Mathematical Society of Japan
2021.10 - Present
Research Projects
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Grant number：24K16954 2024.4 - 2029.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists
Grant type：Scientific research funding