Rchr
J-GLOBAL ID：202301011468422344
Update date: Feb. 18, 2025
Takeuchi Taiki
タケウチ タイキ | Takeuchi Taiki
Affiliation and department：
Job title：
Assistant Professor
Research field (1)：
Mathematical analysis
Research keywords (12)：
Partial Differential Equations
, Functional Analysis
, Harmonic Analysis
, Real interpolation theory
, Smoothing effect
, Heat semigroup
, Keller-Segel system
, Chemotaxis system
, Navier-Stokes system
, Fluid Dynamics
, Besov spaces
, Lorentz spaces
Research theme for competitive and other funds (5)：
- 2024 - 2029 Solvability and regularity of solutions for the chemotaxis system by the method of functional analysis
- 2024 - 2027 Maximal regularity theory of the Fujita-type equation based on the harmonic analysis
- 2023 - 2024 Analysis of the double chemotaxis model with the effect of fluid
- 2022 - 2023 Analysis of the double chemotaxis model with the effect of fluid
- 2021 - 2022 Analysis of the double chemotaxis model with the effect of fluid
Papers (11)：
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Taichi Eguchi, Taiki Takeuchi. Mild solutions of the MHD system with external forces in scaling invariant Besov spaces. Zeitschrift für angewandte Mathematik und Physik. 2025. 76. 2. Paper No. 62, 26 pp
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Tohru Ozawa, Taiki Takeuchi. Refined Interpolation Inequality in Besov Spaces With Applications to the Gagliardo-Nirenberg Inequality. Asymptotic Analysis. 2025
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Taiki Takeuchi. Well-posedness and inviscid limits for the Keller-Segel-Navier-Stokes system of the parabolic-elliptic type. Mathematische Nachrichten. 2025. 298. 1. 53-86
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Tohru Ozawa, Taiki Takeuchi. A new proof of the Gagliardo-Nirenberg and Sobolev inequalities: Heat semigroup approach. Proceedings of the American Mathematical Society, Series B. 2024. 11. 371-377
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Taiki Takeuchi. Remarks on the smoothing effect of the heat semigroup on Ḃ_{p,∞}^s(R^n). Partial Differential Equations in Applied Mathematics. 2024. 10. 100718
ｍore...
Lectures and oral presentations (31)：
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Maximal regularity approach to the chemotaxis-fluid system with rotational flux
(2025)
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Strong solutions to the chemotaxis-fluid system with nonlinear boundary conditions
(2024)
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On the strong solutions to the Keller-Segel-Navier-Stokes system with rotational flux
(2024)
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Global well-posedness for the Keller-Segel-Navier-Stokes system with rotational flux
(2024)
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Maximal regularity approach to the Keller-Segel-Navier-Stokes system with nonlinear boundary conditions
(2024)
ｍore...
Education (5)：
- 2021 - 2023 Waseda University Graduate School of Fundamental Science and Engineering Doctoral Program in Department of Pure and Applied Mathematics
- 2020 - 2021 Waseda University Graduate School of Fundamental Science and Engineering Master's Program in Department of Pure and Applied Mathematics
- 2017 - 2020 Waseda University School of Fundamental Science and Engineering Department of Mathematics
- 2016 - 2017 Waseda University School of Fundamental Science and Engineering
- 2013 - 2016 Kanagawa Sohgoh Senior High School
Professional career (3)：
- Doctor (Science) (Waseda University)
- Master (Science) (Waseda University)
- Bachelor (Science) (Waseda University)
Work history (5)：
- 2024/10 - 現在 Kyushu University Institute of Mathematics for Industry Assistant Professor
- 2024/04 - 現在 Kanagawa University Faculty of Engineering Part-time Teacher
- 2024/04 - 2024/09 Kyoto University Graduate School of Science Research Fellowship for Young Scientists (PD)
- 2023/04 - 2024/03 Waseda University Faculty of Science and Engineering Research Fellowship for Young Scientists (PD)
- 2022/04 - 2023/03 Waseda University Graduate School of Fundamental Science and Engineering Research Fellowship for Young Scientists (DC2)
Awards (1)：
- 2021/03 - Waseda University FY 2020 Azusa Ono Memorial Award (Award of academic work) The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework
Association Membership(s) (1)：
The Mathematical Society of Japan
