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Sakamoto Shota  坂本 祥太

ORCIDConnect your ORCID iD *help
Researcher Number 10869019
Other IDs
Affiliation (Current) 2025: 九州大学, 数理学研究院, 准教授
Affiliation (based on the past Project Information) *help 2023 – 2024: 九州大学, 数理学研究院, 准教授
2020 – 2022: 東京工業大学, 理学院, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
解の正則性 / ランダウ方程式 / ボルツマン方程式 / 非有界領域 / 平滑化効果 / 非切断仮定 / 漸近安定性 / 正則性 / 解の存在と一意性 / 運動論方程式
  • Research Projects

    (2 results)
  • Research Products

    (21 results)
  •  Regularity of solutions to the non cut-off Boltzmann equation on unbounded domainsPrincipal Investigator

    • Principal Investigator
      坂本 祥太
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kyushu University
  •  Study of properties of solutions to kinetic equations via solution spaces with new structuresPrincipal Investigator

    • Principal Investigator
      Sakamoto Shota
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kyushu University
      Tokyo Institute of Technology

All 2024 2023 2022 2021 2020

All Journal Article Presentation

  • [Journal Article] An \(\boldsymbol{L^1_{k}\cap L^{p}_{k}}\) Approach for the Non-Cutoff Boltzmann Equation in \(\boldsymbol{\mathbb{R}^3}\)2024

    • Author(s)
      Duan Renjun、Sakamoto Shota、Ueda Yoshihiro
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 56 Issue: 1 Pages: 762-800

    • DOI

      10.1137/22m1533232

    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Journal Article] An L^1-L^\infty approach for the non-cutoff Boltzmann equation in R^32022

    • Author(s)
      R.-J. Duan, S. Sakamoto, Y. Ueda
    • Journal Title

      preprint

      Volume: N/A

    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Faster decay of the microscopic part of a solution to the Boltzmann equation2024

    • Author(s)
      Shota Sakamoto
    • Organizer
      Workshop on PDE Week-Kinetic and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Faster decay of the microscopic part of a solution to the Boltzmann equation2024

    • Author(s)
      Shota Sakamoto
    • Organizer
      CM2LA Seorabeol Research Station: Workshop in Kinetic Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Faster decay of the microscopic part of a solution to the Boltzmann equation2023

    • Author(s)
      Shota Sakamoto
    • Organizer
      Kinetic Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution to the Boltzmann equation without cutoff on the whole space in (L1∩Lp)k2023

    • Author(s)
      坂本祥太
    • Organizer
      応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Fourier変換の可積分性で特徴づけられる非切断ボルツマン方程式の大域解2023

    • Author(s)
      坂本祥太
    • Organizer
      微分方程式の総合的研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Faster decay of the microscopic part of a solution to the Boltzmann equation without angular cut-off2023

    • Author(s)
      Shota Sakamoto
    • Organizer
      East Asian Workshop on PDEs from Kinetics and Continuum Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] 非切断Boltzmann方程式の摂動Cauchy問題の解の一意存在2023

    • Author(s)
      坂本祥太
    • Organizer
      九州大学大学院数理学府 数理談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution to the Boltzmann equation without cutoff on the whole space in ( L 1 ∩ L p ) k2023

    • Author(s)
      Shota Sakamoto
    • Organizer
      Kyoto-CAU Joint Meeting on Nonlinear PDEs
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution to the Boltzmann equation without angular cutoff in (L1∩Lp)k2023

    • Author(s)
      Shota Sakamoto
    • Organizer
      流体と気体の数理解析
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Solution to the Boltzmann equation without cutoff in (L1∩Lp)k2023

    • Author(s)
      Shota Sakamoto
    • Organizer
      ICIAM 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution to the Boltzmann equation without cutoff on the whole space via L 1 ∩ L p approach2022

    • Author(s)
      Shota Sakamoto
    • Organizer
      IMS Analysis Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] A Cauchy problem of the Boltzmann equation without angular cutoff near an equilibrium in low-regularity spaces2022

    • Author(s)
      Shota Sakamoto
    • Organizer
      Rigorous Statistical Mechanics and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] The well-posedness of the Boltzmann equation without angular cutoff in some Banach-algebra spaces2022

    • Author(s)
      Shota Sakamoto
    • Organizer
      International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution to the Boltzmann equation without cutoff on the whole space via L1∩Lp energy method2022

    • Author(s)
      Shota Sakamoto
    • Organizer
      Academia Sinica Analysis Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] The stability of a solution to the Boltzmann equation in the 3D half-space2022

    • Author(s)
      Shota Sakamoto
    • Organizer
      International Workshop on Recent Advances in Nonlinear PDEs
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution to the Boltzmann equation without angular cutoff in a low-regularity space on the whole space2022

    • Author(s)
      Shota Sakamoto
    • Organizer
      The Eighth Japan-China Workshop on Mathematical Topics from Fluid Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] 3次元半空間におけるボルツマン方程式の初期値問題の漸近安定性2021

    • Author(s)
      坂本祥太、鈴木政尋、Katherine Zhiyuan Zhang
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Global solution of the Boltzmann equation without angular cutoff in the Wiener space2020

    • Author(s)
      坂本祥太
    • Organizer
      京都大学NLPDEセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14338
  • [Presentation] Solutions to the Boltzmann equation without angular cutoff in the Wiener space2020

    • Author(s)
      坂本祥太
    • Organizer
      応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14338

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