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AKAHORI Takafumi  赤堀 公史

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… Alternative Names

赤堀 公史  アカホリ タカフミ

AKAHORI Takahumi  赤堀 公史

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Researcher Number 90437187
Other IDs
External Links
Affiliation (Current) 2025: 静岡大学, 工学部, 教授
Affiliation (based on the past Project Information) *help 2025: 静岡大学, 工学部, 教授
2021 – 2023: 静岡大学, 工学部, 教授
2020: 静岡大学, 工学部, 准教授
2015 – 2016: 静岡大学, 工学部, 准教授
2015: 静岡大学, 大学院工学研究科, 准教授 … More
2014: 静岡大学, 工学研究科, 准教授
2013: 静岡大学, 工学(系)研究科(研究院), 准教授
2012: 静岡大学, 大学院・数理システム工学科, 准教授
2011 – 2012: 静岡大学, 工学部, 准教授
2010: 愛媛大学, 理工学研究科, 助教 Less
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis
Except Principal Investigator
Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
基底状態 / 非線形シュレディンガー方程式 / 非線形分散型方程式 / 散乱問題 / 非線形偏微分方程式 / ソリトン / 中間長波方程式 / 非線形シュレディンガー方程式のダイナミクス / 基底状態の安定性 / 爆発問題 / 関数方程式 … More
Except Principal Investigator
… More オイラー方程式 / 散逸的弱解 / 乱流 / 確率解析 / シュレーディンガー方程式 / 非線形光学 / 超流動 / 重対数法則 / 爆発解 / 非線形シュレーディンガー方程式 / 非圧縮性オイラー方程式 / 確率微分方程式 / 非線形偏微分方程式 / Euler-α方程式 / クゥエット流 / 位相正則化 / 点渦統計力学 / 衝突多様体 / 乱流モデル / エンストロフィー / 自己相似衝突解 / α点渦系 / 点渦力学 / 一様等方乱流 / 衝突解 / 点渦系 / オイラーα方程式 / 渦層 / 点渦 Less
  • Research Projects

    (6 results)
  • Research Products

    (33 results)
  • Co-Researchers

    (9 People)
  •  可積分系の積分-微分方程式に対する多重ソリトンの安定性の研究Principal Investigator

    • Principal Investigator
      赤堀 公史
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Shizuoka University
  •  完全可積分系の方程式に対する解の時間大域挙動の研究Principal Investigator

    • Principal Investigator
      赤堀 公史
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Shizuoka University
  •  Study of nonlinear dispersive equations in critical Sobolev spacesPrincipal Investigator

    • Principal Investigator
      Akahori Takafumi
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Shizuoka University
  •  Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons

    • Principal Investigator
      NAWA Hayato
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Meiji University
      Osaka University
  •  Study of behavior of solutions to nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      AKAHORI Takafumi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Shizuoka University
      Ehime University
  •  Towards a mathematical theory of fluid turbulence via singular vortex dynamics

    • Principal Investigator
      SAKAJO Takashi
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hokkaido University

All 2024 2023 2022 2020 2016 2015 2014 2013 2012 2011 2010 Other

All Journal Article Presentation

  • [Journal Article] Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R times T2023

    • Author(s)
      赤堀 公史, Yakine Bahri, Slim Ibrahim, 菊池弘明
    • Journal Title

      Annales Henri Poincar´e

      Volume: - Issue: 7 Pages: 1-31

    • DOI

      10.1007/s00023-023-01370-6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03697, KAKENHI-PROJECT-20K03706
  • [Journal Article] Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions2022

    • Author(s)
      Akahori Takafumi、Murata Miho
    • Journal Title

      Nonlinear Differential Equations and Applications NoDEA

      Volume: 29 Issue: 6

    • DOI

      10.1007/s00030-022-00804-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03697, KAKENHI-PROJECT-21K13819
  • [Journal Article] Blowup and scattering problems for the nonlinear Schrodinger equations2013

    • Author(s)
      Takafumi Akahori, Hayato Nawa
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: vol 53, no 3 Issue: 3 Pages: 629-672

    • DOI

      10.1215/21562261-2265914

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-25800077
  • [Journal Article] Existence of a ground state and scattering for a nonlinear Schrodinger equation with critical growth2013

    • Author(s)
      Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
    • Journal Title

      Selecta Mathematica, new series

      Volume: vol 19, issue 2 Issue: 2 Pages: 545-609

    • DOI

      10.1007/s00029-012-0103-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-23654052, KAKENHI-PROJECT-25800077
  • [Journal Article] Existence of a ground state and scattering problem for a nonlinear Schrodinger equation with critical growth2013

    • Author(s)
      赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
    • Journal Title

      Selecta Mathematica

      Volume: 19巻 Pages: 545-609

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012

    • Author(s)
      赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
    • Volume
      25巻
    • Pages
      383-402
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012

    • Author(s)
      赤堀公史, 菊池弘明, 名和範人
    • Journal Title

      Differential and Integral Equations

      Volume: 25巻 Pages: 1075-1118

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012

    • Author(s)
      赤堀公史, Slim Ibrahim, 菊池弘明, 名範人
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 383-402

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Journal Article] Existence of a ground state and blow-up problem for a nonlinearSchrodinger equation with critical growth2012

    • Author(s)
      赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
    • Journal Title

      Differential and Integral Equations

      Volume: 25 Pages: 383-402

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340030
  • [Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012

    • Author(s)
      Takafumi Akahori, Hiroaki Kikuchi, Hayato Nawa
    • Journal Title

      Differential and Integral Equations

      Volume: vol 25, no 11-12

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340030
  • [Presentation] Global dynamics above the ground state threshold for nonlinear Schrodinger equations2024

    • Author(s)
      赤堀公史
    • Organizer
      The 15th Nagoya Workshop on Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] Global dynamics above the ground state threshold for nonlinear Schrodinger equations2023

    • Author(s)
      赤堀公史
    • Organizer
      日本数学会 函数方程式論分科会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions2022

    • Author(s)
      赤堀公史
    • Organizer
      Workshop on recent progress in standing waves for nonlinear Schrodinger equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] Recent developments in the global well-posedness theory for complete integrable systems2022

    • Author(s)
      赤堀公史
    • Organizer
      静岡大学現代解析研究所 Workshop
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] Limiting profiles of stable and unstable modes of the linearized problems around ground states for perturbed nonlinear Schrodinger equations2022

    • Author(s)
      赤堀公史
    • Organizer
      The 19th Linear and Nonlinear Waves
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] H^-1におけるKdV方程式の大域適切性の証明方法の紹介2022

    • Author(s)
      赤堀公史
    • Organizer
      津田塾大学PDE Workshop
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] Uniqueness of ground states for combined power-type nonlinear scalar field equations2020

    • Author(s)
      赤堀公史
    • Organizer
      CMS Winter Meeting, Nonlinear PDEs and kinetic problems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03697
  • [Presentation] Dynamics around ground states for combined power-type nonlinear Schrodinger equations with critical growth2016

    • Author(s)
      赤堀公史
    • Organizer
      Applied math seminar
    • Place of Presentation
      University of Victoria
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800077
  • [Presentation] Global dynamics above the ground state energy for a class on nonlinear Schrodinger equations with critical growth -small frequency case-2015

    • Author(s)
      赤堀公史
    • Organizer
      第12回 青葉山勉強会
    • Place of Presentation
      東北大学大学院情報科学研究科 (宮城県仙台市)
    • Year and Date
      2015-06-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800077
  • [Presentation] Global Dynamics for the nonlinear Schrodinger equation with combined power-type nonlinearities2015

    • Author(s)
      赤堀公史
    • Organizer
      Applied Math seminar
    • Place of Presentation
      University of Victoria (Canada)
    • Year and Date
      2015-10-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800077
  • [Presentation] Global dynamics above the ground state energy for a class on nonlinear Schrodinger equations with critical growth -small frequency case-2015

    • Author(s)
      赤堀公史
    • Organizer
      線形および非線形分散型方程式の研究
    • Place of Presentation
      京都大学数理解析研究所 (京都府京都市)
    • Year and Date
      2015-05-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800077
  • [Presentation] On nonlinear Schrodinger equations with critical growth2014

    • Author(s)
      赤堀公史
    • Organizer
      線形および非線形分散型方程式の研究
    • Place of Presentation
      京都府京都市 京都大学数理解析研究所
    • Year and Date
      2014-05-20
    • Data Source
      KAKENHI-PROJECT-25800077
  • [Presentation] Remarks on the energy-critical nonlinear Schrodinger equation, UVic one day seminar on Dispersive PDEs2013

    • Author(s)
      赤堀公史
    • Organizer
      Human and Social Development Building
    • Place of Presentation
      University of Victoria, Canada
    • Year and Date
      2013-03-08
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] Remarks on the energy-critical nonlinear Schrodinger equation2013

    • Author(s)
      赤堀公史
    • Organizer
      松山解析セミナー2013
    • Place of Presentation
      愛媛大学理学部
    • Year and Date
      2013-02-09
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] Remarks on the energy-critical nonlinear Schrodinger equation2013

    • Author(s)
      赤堀公史
    • Organizer
      松山解析セミナー2013
    • Place of Presentation
      愛媛大学理学部(愛媛県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] Scattering for nonlinear Schrodinger equations at critical regularity2012

    • Author(s)
      赤堀公史
    • Organizer
      非線形分散型方程式における最近の進展
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-05-21
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] Scattering for nonlinear Schrodinger equations at critical regularity2012

    • Author(s)
      赤堀公史
    • Organizer
      非線形分散型方程式における最近の進展
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] Scattering and blowup problems for a class of nonlinear Schrodinger equations2011

    • Author(s)
      赤堀公史
    • Organizer
      非線形双曲型および分散型方程式の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-05-24
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] エネルギー臨界冪を持つ非線形シュレディンガー方程式に対する基底状態の存在性と散乱・爆発問題2011

    • Author(s)
      赤堀公史
    • Organizer
      偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2011
    • Place of Presentation
      宮崎大学(宮崎県)(招待講演)
    • Year and Date
      2011-11-18
    • Data Source
      KAKENHI-PROJECT-23340030
  • [Presentation] Scattering problem for nonlinear Schrodinger equations2010

    • Author(s)
      赤堀公史
    • Organizer
      広島応用解析セミナー
    • Place of Presentation
      広島大学工学部
    • Year and Date
      2010-08-23
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] Scattering problem for the nonlinear Schrodinger equation with combined power nonlinearities2010

    • Author(s)
      赤堀公史
    • Organizer
      Harmonic Analysis and Partial Differential Equations
    • Place of Presentation
      Seoul National University
    • Year and Date
      2010-08-20
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] 非線形シュレディンガー方程式の爆発問題について2010

    • Author(s)
      赤堀公史
    • Organizer
      非線形波動・分散型方程式の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-05-25
    • Data Source
      KAKENHI-PROJECT-22740092
  • [Presentation] On nonlinear Schrodinger equations with critical growth

    • Author(s)
      赤堀公史
    • Organizer
      RIMS共同研究「線形および非線形分散型方程式の研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340030
  • 1.  SAKAJO Takashi (10303603)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  NAWA Hayato (90218066)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 4 results
  • 3.  MATSUMOTO Takeshi (20346076)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  YOSHIDA Nobuo (40240303)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  FUKUIZUMI Reika (00374182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  KIKUCHI Hiroaki (00612277)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 7.  OHKITANI Koji
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  Gadi Fibich
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  Anne de Bouard
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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