Takeuchi Taiki 武内太貴

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武内太貴タケウチタイキ

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Researcher Number	30991674
Other IDs
Affiliation (Current)	2026: 九州大学, マス・フォア・インダストリ研究所, 助教
Affiliation (based on the past Project Information) *help	2024: 九州大学, マス・フォア・インダストリ研究所, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 実補間空間論 / 平滑化効果 / 熱半群 / 関数解析学 / 走化性方程式系

Solvability and regularity of solutions for the chemotaxis system by the method of functional analysisPrincipal Investigator
- Principal Investigator
  
  武内太貴
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kyushu University

All 2025 2024

All Journal Article Presentation

[Journal Article] Mild solutions of the MHD system with external forces in scaling invariant Besov spaces2025
- Author(s)
  Eguchi Taichi、Takeuchi Taiki
- Journal Title
  
  Zeitschrift fur angewandte Mathematik und Physik
  
  Volume: 76 Issue: 2
- DOI
  10.1007/s00033-025-02435-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24K16954, KAKENHI-PROJECT-24KJ0122
[Journal Article] Asymptotic behavior of global mild solutions to the Keller-Segel-Navier-Stokes system in Lorentz spaces2025
- Author(s)
  Taiki Takeuchi
- Journal Title
  
  Advances in Nonlinear Analysis
  
  Volume: - Issue: 1
- DOI
  10.1515/anona-2025-0080
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K16954, KAKENHI-PROJECT-24KJ0122
[Journal Article] Refined interpolation inequality in Besov spaces with applications to the Gagliardo-Nirenberg inequality2025
- Author(s)
  Ozawa Tohru, Takeuchi Taiki
- Journal Title
  
  Asymptotic Analysis
  
  Volume: 141 Issue: 2 Pages: 119-131
- DOI
  10.1177/09217134241308362
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24H00024, KAKENHI-PROJECT-18KK0073, KAKENHI-PROJECT-24K16954, KAKENHI-PROJECT-24KJ0122
[Journal Article] Breakdown of $ C^{\infty} $-smoothing effects of solutions to the semilinear heat equation in the whole space2024
- Author(s)
  Takeuchi Taiki
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 23 Issue: 6 Pages: 830-872
- DOI
  10.3934/cpaa.2024037
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24K16954, KAKENHI-PROJECT-24KJ0122
[Journal Article] Well-posedness and inviscid limits for the Keller--Segel--Navier--Stokes system of the parabolic--elliptic type2024
- Author(s)
  Takeuchi Taiki
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 298 Issue: 1 Pages: 53-86
- DOI
  10.1002/mana.202300304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24K16954, KAKENHI-PROJECT-24KJ0122
[Presentation] Maximal regularity approach to the chemotaxis-fluid system with rotational flux2025
- Author(s)
  武内太貴
- Organizer
  第152回日本数学会九州支部例会
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] Global well-posedness for the Keller--Segel--Navier--Stokes system with rotational flux2024
- Author(s)
  武内太貴
- Organizer
  九州大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] Strong solutions to the chemotaxis-fluid system with nonlinear boundary conditions2024
- Author(s)
  武内太貴
- Organizer
  第847回応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] On the strong solutions to the Keller--Segel--Navier--Stokes system with rotational flux2024
- Author(s)
  武内太貴
- Organizer
  第1回北陸微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] Real interpolations on the Lorentz-Besov-type spaces2024
- Author(s)
  武内太貴
- Organizer
  第43回調和解析定例セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] The Lorentz-Chemin-Lerner space and its characterizations2024
- Author(s)
  Taiki Takeuchi
- Organizer
  The 11th East Asian Conference in Harmonic Analysis and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] Global solvability of the chemotaxis-fluid system with rotational flux via the maximal regularity theory2024
- Author(s)
  武内太貴
- Organizer
  第195回神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] Breakdown of smoothness of solutions to the semilinear heat equation2024
- Author(s)
  武内太貴
- Organizer
  第2回信州若里偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] Maximal regularity approach to the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions2024
- Author(s)
  武内太貴, 渡邊圭市
- Organizer
  日本数学会 2024年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] On regularities of sign-changing solutions of the semilinear heat equation2024
- Author(s)
  武内太貴
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954
[Presentation] On the generalized Chemin-Lerner spaces via the Lorentz spaces in time2024
- Author(s)
  武内太貴
- Organizer
  第5回大同大学若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16954

1. 小澤徹

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Takeuchi Taiki 武内 太貴

武内 太貴 タケウチ タイキ

Research Projects

Research Products

Co-Researchers

Solvability and regularity of solutions for the chemotaxis system by the method of functional analysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Mild solutions of the MHD system with external forces in scaling invariant Besov spaces2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of global mild solutions to the Keller-Segel-Navier-Stokes system in Lorentz spaces2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Refined interpolation inequality in Besov spaces with applications to the Gagliardo-Nirenberg inequality2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Breakdown of $ C^{\infty} $-smoothing effects of solutions to the semilinear heat equation in the whole space2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Well-posedness and inviscid limits for the Keller--Segel--Navier--Stokes system of the parabolic--elliptic type2024

Author(s)

Journal Title

DOI

Data Source

[Presentation] Maximal regularity approach to the chemotaxis-fluid system with rotational flux2025

Author(s)

Organizer

Data Source

[Presentation] Global well-posedness for the Keller--Segel--Navier--Stokes system with rotational flux2024

Author(s)

Organizer

Data Source

[Presentation] Strong solutions to the chemotaxis-fluid system with nonlinear boundary conditions2024

Author(s)

Organizer

Data Source

[Presentation] On the strong solutions to the Keller--Segel--Navier--Stokes system with rotational flux2024

Author(s)

Organizer

Data Source

[Presentation] Real interpolations on the Lorentz-Besov-type spaces2024

Author(s)

Organizer

Data Source

[Presentation] The Lorentz-Chemin-Lerner space and its characterizations2024

Author(s)

Organizer

Data Source

[Presentation] Global solvability of the chemotaxis-fluid system with rotational flux via the maximal regularity theory2024

Author(s)

Organizer

Data Source

[Presentation] Breakdown of smoothness of solutions to the semilinear heat equation2024

Author(s)

Organizer

Data Source

[Presentation] Maximal regularity approach to the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions2024

Author(s)

Organizer

Data Source

[Presentation] On regularities of sign-changing solutions of the semilinear heat equation2024

Author(s)

Organizer

Data Source

[Presentation] On the generalized Chemin-Lerner spaces via the Lorentz spaces in time2024

Author(s)

Organizer

Data Source

Takeuchi Taiki 武内太貴

武内太貴タケウチタイキ