Rchr
J-GLOBAL ID：202301011468422344
Update date: Dec. 10, 2024
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 (10)：
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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. 2024. 1-35
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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
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Taiki Takeuchi. Breakdown of C^∞-smoothing effects of solutions to the semilinear equation in the whole space. Communications on Pure and Applied Analysis. 2024. 23. 6. 830-872
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Tohru Ozawa, Taiki Takeuchi. Refined interpolation inequality in Besov spaces with applications to the Gagliardo-Nirenberg inequality. to appear in Asymptotic Analysis. 2024
ｍore...
Lectures and oral presentations (30)：
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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)
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On the generalized Chemin-Lerner spaces via the Lorentz spaces in time
(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
