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Ishii Hiroshi  石井 宙志

ORCIDConnect your ORCID iD *help
Researcher Number 20966337
Other IDs
Affiliation (Current) 2026: 北海道大学, 電子科学研究所, 助教
Affiliation (based on the past Project Information) *help 2023 – 2025: 北海道大学, 電子科学研究所, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related
Except Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords
Principal Investigator
積分核 / 非局所反応拡散方程式 / 反応拡散系 / 非局所効果 / パターン形成 / 非局所拡散 / 漸近形 / 非整数階微分 / 進行波 / 特異極限 … More / 界面方程式 / 曲面上のパターン形成 / スポット解 / 優解・劣解の方法 … More
Except Principal Investigator
フロント波の伝播 / パターンダイナミクス / 全域解 / メトリックグラフ / 反応拡散方程式 / 細胞接着 / 細胞間接着 / 細胞選別 / 数理生物学 / 数値解析学 / 応用数学 Less
  • Research Projects

    (3 results)
  • Research Products

    (29 results)
  • Co-Researchers

    (6 People)
  •  New development of pattern dynamics in reaction-diffusion equations on metric graphs

    • Principal Investigator
      森田 善久
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Ryukoku University
  •  Mathematical analysis of cell sorting phenomenon

    • Principal Investigator
      村川 秀樹
    • 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
      Ryukoku University
  •  Analysis of the effect of integral kernel shape on pattern formation in nonlocal reaction-diffusion equationsPrincipal Investigator

    • Principal Investigator
      石井 宙志
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Hokkaido University

All 2025 2024 2023

All Journal Article Presentation

  • [Journal Article] Propagating front solutions in a time-fractional Fisher-KPP equation2025

    • Author(s)
      Ishii Hiroshi
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 30 Issue: 7 Pages: 2460-2482

    • DOI

      10.3934/dcdsb.2024173

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24H00188, KAKENHI-PROJECT-23K13013
  • [Journal Article] Asymptotic profiles of zero points of solutions to the heat equation2024

    • Author(s)
      Ishii Hiroshi
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 152 Issue: 10 Pages: 4451-4461

    • DOI

      10.1090/proc/16934

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 非局所反応拡散方程式のパターン形成問題2025

    • Author(s)
      石井宙志
    • Organizer
      応用数学研究交流会2025 冬
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 非局所反応拡散方程式のパターン形成問題2025

    • Author(s)
      石井宙志
    • Organizer
      応用数学交流研究会2025 冬
    • Invited
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の伝播について2024

    • Author(s)
      石井宙志
    • Organizer
      第1回北見数理科学研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の挙動について2024

    • Author(s)
      石井宙志
    • Organizer
      第13回室蘭非線形解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Propagating front solutions to Fisher-KPP equation with a time-fractional derivative2024

    • Author(s)
      Hiroshi ISHII
    • Organizer
      The 14th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] 非局所反応拡散方程式の解の時空間ダイナミクスにおける積分核形状の影響2024

    • Author(s)
      石井宙志
    • Organizer
      北海道大学数学教室・談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の伝播について2024

    • Author(s)
      石井宙志
    • Organizer
      Okayama Workshop on PDEs
    • Invited
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] On the propagation of solutions to Fisher-KPP type equation with time-fractional derivative2024

    • Author(s)
      Hiroshi ISHII
    • Organizer
      Hokudai-NYCU Joint Workshop on Applied Mathematics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の伝播について2024

    • Author(s)
      石井宙志
    • Organizer
      京都駅前セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Pattern Formation in Mathematical Models Including Neuronal Interaction Effects2024

    • Author(s)
      Hiroshi ISHII
    • Organizer
      Digital Brain Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] Propagating front solutions to Fisher-KPP equation with time-fractional derivative2024

    • Author(s)
      Hiroshi ISHII
    • Organizer
      The 14th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の伝播について2024

    • Author(s)
      石井宙志
    • Organizer
      Okayama Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の伝播について2024

    • Author(s)
      石井宙志
    • Organizer
      京都駅前セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] 非整数階時間微分を持つFisher-KPP型方程式の進行波解について2024

    • Author(s)
      石井宙志
    • Organizer
      日本数学会2024年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] On the propagation of solutions to Fisher-KPP type equation with time-fractional derivative2024

    • Author(s)
      Hiroshi ISHII
    • Organizer
      Hokudai-NYCU Joint Workshop on Applied Mathematics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 時間非整数階微分を持つFisher-KPP型方程式の解の伝播について2024

    • Author(s)
      石井宙志
    • Organizer
      第1回北見数理科学研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] Pattern Formation in Mathematical Models Including Neuronal Interaction Effects2024

    • Author(s)
      Hiroshi ISHII
    • Organizer
      Digital Brain seminar - 2nd seminar, Zoom
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 非局所反応拡散方程式の解の時空間ダイナミクスにおける積分核形状の影響2024

    • Author(s)
      石井宙志
    • Organizer
      北海道大学数学教室 談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-24H00188
  • [Presentation] 非整数階時間微分を持つFisher-KPP方程式の進行波解について2024

    • Author(s)
      石井宙志
    • Organizer
      日本数学会 2024年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 非局所反応拡散方程式における局在パターンの積分核形状に依存した挙動について2023

    • Author(s)
      石井宙志
    • Organizer
      反応拡散系パターンダイナミクスの新展開
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Effect of integral kernel shape on interface dynamics in a nonlocal bistable equation2023

    • Author(s)
      Hiroshi ISHII
    • Organizer
      MATHEMATICAL ASPECTS OF CONTINUUM MECHANICS 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Traveling waves to a nonlocal scalar equation with sign-changing kernel2023

    • Author(s)
      Hiroshi ISHII
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications "SS08 Propagation Phenomena in Reaction-Diffusion Systems"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 非局所反応拡散方程式における積分核形状に依存した時空間パターンについて2023

    • Author(s)
      石井宙志
    • Organizer
      京都大学応用数学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Effects of a nonlocal term in pattern formation problems2023

    • Author(s)
      Hiroshi ISHII
    • Organizer
      Biwako workshop on Mathematical Biology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] 非局所反応拡散方程式に現れる界面の運動について2023

    • Author(s)
      石井宙志
    • Organizer
      第3回はこだて現象数理研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Motion of phase-separated patterns in nonlocal reaction-diffusion equations2023

    • Author(s)
      Hiroshi ISHII
    • Organizer
      RIMS Conference "Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • [Presentation] Dynamics of localization patterns in some nonlocal evolution equations2023

    • Author(s)
      Hiroshi ISHII
    • Organizer
      ICIAM2023
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K13013
  • 1.  村川 秀樹 (40432116)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  野津 裕史 (00588783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  佐藤 純 (30345235)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  田中 吉太郎 (80783977)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  富樫 英 (90415240)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  森田 善久 (10192783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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