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Hujie Kentaro  藤江 健太郎

… Alternative Names

Fujie Kentaro  藤江 健太郎

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Researcher Number 50805398
Other IDs
  • ORCIDhttps://orcid.org/0000-0002-5341-7198
Affiliation (Current) 2025: 東北大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2022 – 2025: 東北大学, 理学研究科, 准教授
2019 – 2021: 東北大学, 数理科学連携研究センター, 准教授
2017 – 2018: 東京理科大学, 理学部第一部数学科, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / Mathematical analysis
Except Principal Investigator
Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
走化性 / 爆発現象 / 関数方程式 / 放物型方程式 / Keller-Segel系 / 走化性方程式 / 移流拡散 / Keller-Segel方程式 / 移流拡散方程式 / Keller--Segel方程式 / オイラー方程式 … More
Except Principal Investigator
… More 発展方程式 / 非線形非局所解析学 / 非局所非線形解析学 / 破壊力学・ソフトマター物理 / 非線形拡散・異常拡散 / 非線形領域の非平衡系 / 距離空間上の勾配系の摂動理論 / 非線形・非局所 / 勾配流理論 / 破壊・損傷力学モデル / 不可逆過程 / 非線形拡散 Less
  • Research Projects

    (4 results)
  • Research Products

    (45 results)
  • Co-Researchers

    (8 People)
  •  Evolution equations describing singularities of non-equilibrium systems beyond the linear-response regime and development of nonlocal-nonlinear analysis

    • Principal Investigator
      赤木 剛朗
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Tohoku University
  •  Evolution equations describing non-standard irreversible processes --Analysis on singularities emerging in the dynamics of solutions--

    • Principal Investigator
      赤木 剛朗
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tohoku University
  •  New developments in the structure of solutions to Chemotaxis systemsPrincipal Investigator

    • Principal Investigator
      Fujie Kentaro
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tohoku University
  •  Investigations on solution structures of generalized chemotaxis systemsPrincipal Investigator

    • Principal Investigator
      Fujie Kentaro
    • Project Period (FY)
      2017 – 2018
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Mathematical analysis
    • Research Institution
      Tokyo University of Science

All 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

  • [Journal Article] A short remark on comparison estimates in a chemotaxis system with local sensing2023

    • Author(s)
      Fujie Kentaro
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: - Issue: 10 Pages: 5355-5360

    • DOI

      10.3934/dcdsb.2023017

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14576, KAKENHI-PROJECT-20H01812
  • [Journal Article] A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller--Segel systems2022

    • Author(s)
      Fujie Kentaro、Jiang Jie
    • Journal Title

      Mathematics in Engineering

      Volume: 4 Issue: 6 Pages: 1-12

    • DOI

      10.3934/mine.2022045

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Journal Article] Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions2022

    • Author(s)
      Fujie Kentaro、Senba Takasi
    • Journal Title

      Nonlinearity

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Journal Article] Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System2021

    • Author(s)
      Fujie Kentaro
    • Journal Title

      Springer INdAM Series

      Volume: 47 Pages: 67-77

    • DOI

      10.1007/978-3-030-73363-6_4

    • ISBN
      9783030733629, 9783030733636
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Journal Article] Comparison methods for a Keller--Segel-type model of pattern formations with density-suppressed motilities2021

    • Author(s)
      Fujie Kentarou、Jiang Jie
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 60 Issue: 3 Pages: 92-92

    • DOI

      10.1007/s00526-021-01943-5

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576, KAKENHI-PROJECT-20H01812
  • [Journal Article] Boundedness of Classical Solutions to a Degenerate Keller-Segel Type Model with Signal-Dependent Motilities2021

    • Author(s)
      Fujie Kentaro、Jiang Jie
    • Journal Title

      Acta Applicandae Mathematicae

      Volume: 176 Issue: 1 Pages: 36-36

    • DOI

      10.1007/s10440-021-00450-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Journal Article] Global existence for a kinetic model of pattern formation with density-suppressed motilities2020

    • Author(s)
      Fujie Kentarou、Jiang Jie
    • Journal Title

      Journal of Differential Equations

      Volume: 269 Issue: 6 Pages: 5338-5378

    • DOI

      10.1016/j.jde.2020.04.001

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576, KAKENHI-PROJECT-20H01812
  • [Journal Article] Some remarks on well-posedness of the higher-dimensional chemorepulsion system2019

    • Author(s)
      Cielak Tomasz、Fujie Kentarou
    • Journal Title

      Bulletin of the Polish Academy of Sciences Mathematics

      Volume: 67 Issue: 2 Pages: 165-178

    • DOI

      10.4064/ba190324-4-6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Journal Article] Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension2019

    • Author(s)
      Fujie Kentarou、Senba Takasi
    • Journal Title

      Journal of Differential Equations

      Volume: 266 Issue: 2-3 Pages: 942-976

    • DOI

      10.1016/j.jde.2018.07.068

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Journal Article] Global existence and boundedness in a fully parabolic 2D attraction- repulsion system: chemotaxis-dominant case2019

    • Author(s)
      Fujie Kentarou、Suzuki Takashi
    • Journal Title

      ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS

      Volume: 28 Pages: 1-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Journal Article] A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system2018

    • Author(s)
      Fujie Kentarou、Senba Takasi
    • Journal Title

      Nonlinearity

      Volume: 31 Issue: 4 Pages: 1639-1672

    • DOI

      10.1088/1361-6544/aaa2df

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Journal Article] Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity2018

    • Author(s)
      Cieslak Tomasz、Fujie Kentarou
    • Journal Title

      Discrete & Continuous Dynamical Systems - S

      Volume: 0 Issue: 2 Pages: 165-176

    • DOI

      10.3934/dcdss.2020009

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Journal Article] No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system2018

    • Author(s)
      Cieslak Tomasz、Fujie Kentarou
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 146 Issue: 6 Pages: 2529-2540

    • DOI

      10.1090/proc/13939

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Journal Article] Global asymptotic stability in a chemotaxis-growth model for tumor invasion2018

    • Author(s)
      Fujie Kentarou
    • Journal Title

      Discrete & Continuous Dynamical Systems - S

      Volume: 0 Issue: 2 Pages: 203-209

    • DOI

      10.3934/dcdss.2020011

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Journal Article] Boundedness of solutions to the critical fully parabolic quasilinear one‐dimensional Keller-Segel system2018

    • Author(s)
      Bieganowski Bartosz、Cieslak Tomasz、Fujie Kentarou、Senba Takasi
    • Journal Title

      Mathematische Nachrichten

      Volume: 292 Issue: 4 Pages: 724-732

    • DOI

      10.1002/mana.201800175

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131, KAKENHI-PROJECT-18K03386
  • [Presentation] ある走化性方程式の少し重たい爆発解について2022

    • Author(s)
      藤江 健太郎
    • Organizer
      室蘭工大 PDE 研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Local sensingの走化性方程式の非有界な解について2022

    • Author(s)
      藤江 健太郎
    • Organizer
      研究集会「発展方程式における形状解析と漸近解析」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Boundedness of solutions to a fully parabolic chemotaxis system with local sensing in higher dimensions2022

    • Author(s)
      Kentaro Fujie
    • Organizer
      第23回北東数学解析研究会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Global boundedness in a fully parabolic chemotaxis system with local sensing in higher dimensions2022

    • Author(s)
      藤江健太郎
    • Organizer
      第39回 九州における偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Behavior of solutions to a chemotaxis system with signal-dependent motilities2021

    • Author(s)
      藤江健太郎
    • Organizer
      研究集会「微分方程式の総合的研究」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] ある準線型走化性方程式の大域的可解性について2021

    • Author(s)
      藤江 健太郎
    • Organizer
      日本数学会 2021年度年会 実函数論分科会 特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Local sensingの走化性方程式の解挙動について2021

    • Author(s)
      藤江 健太郎
    • Organizer
      Critical Exponent and Nonlinear Partial Differential Equations 2021
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] 2次元走化性方程式の非有界非球対称非負解の構成に関する注意2021

    • Author(s)
      藤江健太郎、Jie Jiang
    • Organizer
      第47回 発展方程式研究会
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Local sensingの走化性方程式の時間大域解について2021

    • Author(s)
      藤江健太郎
    • Organizer
      第755回 応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Comparison methods for a Keller-Segel-type reaction-diffusion system2020

    • Author(s)
      藤江健太郎
    • Organizer
      第150回 熊本大学応用解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Local Sensingの走化性方程式の高次元における大域的可解性について2020

    • Author(s)
      藤江 健太郎、Jie Jiang
    • Organizer
      第46回 発展方程式研究会
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] On a Chemotaxis Model with Local Sensing2020

    • Author(s)
      藤江 健太郎
    • Organizer
      第17回室蘭工業大学応用解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Comparison methods for a kinetic model of pattern formation with density-suppressed motilities2020

    • Author(s)
      藤江健太郎
    • Organizer
      OCAMI共同研究「反応拡散拡散方程式と非線形分散型方程式の解の挙動
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] 感応性関数をもつ走化性方程式について2019

    • Author(s)
      藤江健太郎
    • Organizer
      第13回室蘭工業大学応用解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] 感応性関数をもつ Keller-Segel 系の臨界条件について2019

    • Author(s)
      藤江健太郎
    • Organizer
      第50回南大阪応用数学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] On a kinetic model with density-suppressed motility for pattern formations2019

    • Author(s)
      藤江健太郎
    • Organizer
      九州工業大学・数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Comparison methods for a Keller-Segel-type reaction-diffusion system2019

    • Author(s)
      藤江健太郎
    • Organizer
      第13回実解析と函数解析による偏微分方程式論
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] New energy-like functional in fully parabolic systems of chemotaxis2019

    • Author(s)
      Fujie Kentarou
    • Organizer
      VI°Italian-Japanese Workshop GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE's
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] On a chemotaxis system with sensitivity functions2019

    • Author(s)
      Fujie Kentarou
    • Organizer
      RIMS共同研究 「発展方程式論の新展開:数理理論と現象解析の協働
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Mathematical Analysis of a Kinetic Model of Pattern Formation with Density-suppressed Motilities2019

    • Author(s)
      Fujie Kentarou
    • Organizer
      RIMS合宿型セミナー「Pattern formation and defects in biology and materials science」
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] Comparison Methods for a Kinetic Model of Pattern Formation with Density-suppressed Motilities2019

    • Author(s)
      藤江健太郎
    • Organizer
      第45回 発展方程式研究会
    • Data Source
      KAKENHI-PROJECT-19K14576
  • [Presentation] New Lyapunov-like functional of 1D quasilinear Keller-Segel system and its application2018

    • Author(s)
      Kentarou Fujie
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] A higher dimensional generalization of the Keller-Segel system2018

    • Author(s)
      Kentarou Fujie
    • Organizer
      Mathematical aspects of chemotaxis, cross-diffusion effects and concentration phenomena
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] Global existence and boundedness in a fully parabolic two-chemical substances chemotaxis system2018

    • Author(s)
      Kentarou Fujie
    • Organizer
      8th Euro-Japanese Workshop on Blow-up
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system2018

    • Author(s)
      Kentarou Fujie
    • Organizer
      Seminarium Zaklladu Rownan Fizyki Matematycznej
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] 1 次元準線形 Keller-Segel 系の臨界現象の非存在性2018

    • Author(s)
      藤江健太郎
    • Organizer
      応用数学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] No critical nonlinear diffusion in 1D quasilinear fully parabolic Keller--Segel system2018

    • Author(s)
      Kentarou Fujie
    • Organizer
      第35回 九州における偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] On an attraction-repulsion chemotaxis system2018

    • Author(s)
      Kentarou Fujie
    • Organizer
      The 3rd International Workshop on Mathematical Analysis of Chemotaxis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] A generalization of the Keller--Segel system to higher dimensions from a structural viewpoint2017

    • Author(s)
      Kentarou Fujie
    • Organizer
      Equadiff 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H07131
  • [Presentation] No critical nonlinear diffusion in 1D quasilinear fully parabolic Keller--Segel system2017

    • Author(s)
      藤江健太郎
    • Organizer
      第7回室蘭非線形解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H07131
  • 1.  赤木 剛朗 (60360202)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  木村 正人 (70263358)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  梶木屋 龍治 (10183261)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  上田 好寛 (50534856)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  前川 泰則 (70507954)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  山本 昌宏 (50182647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  Senba Takasi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 8.  Cieslak Tomasz
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results

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