Nara Mitsunori 奈良光紀

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NARA Mitsunori 奈良光紀

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Researcher Number	90512161
Other IDs
Affiliation (Current)	2025: 関西大学, 総合情報学部, 教授
Affiliation (based on the past Project Information) *help	2025: 関西大学, 総合情報学部, 教授 2016 – 2023: 岩手大学, 理工学部, 准教授 2015: 岩手大学, 人文社会学部, 准教授 2013 – 2015: 岩手大学, 人文社会科学部, 准教授 2011: 岩手大学, 人文社会科学部, 准教授 2009 – 2010: 東京大学, 大学院・数理科学研究科, 特任助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Global analysis Except Principal Investigator Analysis, Applied mathematics, and related fields / Global analysis / Mathematical analysis
Keywords	Principal Investigator 偏微分方程式 / 進行波 / 安定性 / 擬微分方程式 / 反応拡散方程式 / 界面現象 / パターン形成 / 関数方程式論 / パルス波 / 疑微分作用素 … More / フランク図形 / 非等方的拡散 / spreading front / 非等方性 / Spreading front / 分岐問題 / 空間的非等方性 / 応用数学 / 非線形問題 / 偏微分方程式論 … More Except Principal Investigator 定性的理論 / 安定性 / 進行波 / 非線形問題 / 擬微分方程式 / フランク図形 / 平面波 / バイドメインモデル / 分岐現象 / パルス波 / 分岐理論 / FitzHugh-Nagumoモデル / 数値シミュレーション / 国際情報交換（イタリア） / 国際研究者交流（フランス） / エルゴード性 / 無限次元力学系 / 国際情報交換（中国） / 国際研究者交流(フランス) / 順序保存力学系 / 国際研究者交流（オーストラリア） / 国際研究者交流（中国） / 国際研究者交流（イタリア） / 拡散方程式 / 広がり波面 / 漸近挙動 / 非線形拡散方程式 / 自由境界問題 / 特異極限 / 解の爆発 / 界面運動 / 非線形偏微分方程式 / スペクトル解析 / 国際研究者交流（米国） Less

非等方性をもつ非線形現象における進行波とパルス波の解析Principal Investigator
- Principal Investigator
  
  奈良光紀
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kansai University
非等方性を持つ非線形偏微分方程式における界面ダイナミクスの解析Principal Investigator
- Principal Investigator
  
  奈良光紀
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Iwate University
Investigation of the mathematical structure of bidomain models
- Principal Investigator
  
  Matano Hiroshi
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Research Field
  
  Analysis, Applied mathematics, and related fields
- Research Institution
  Meiji University
Pattern formation and interfacial dynamics in nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  Nara Mitsunori
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Iwate University
Studies of the interface motion and the signal propagation mechanism in the bidomain model
- Principal Investigator
  
  Matano Hiroshi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  The University of Tokyo
Analysis of interfacial phenomena and singularities in nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  Nara Mitsunori
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Iwate University
Qualitative theory of nonlinear partial differential equations and the analysis of singularitiesof
- Principal Investigator
  
  Matano Hiroshi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Study on interfacial phenomena in nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  NARA Mitsunori
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Iwate University
  The University of Tokyo

All 2023 2022 2019 2018 2014 2012 2011 2010 2009

All Journal Article Presentation

[Journal Article] Stability of front solutions of the bidomain Allen-Cahn equation on an infinite strip2023
- Author(s)
  Matano Hiroshi、Mori Yoichiro、Nara Mitsunori
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18732
[Journal Article] Stability of Front Solutions of the Bidomain Allen-Cahn Equation on an Infinite Strip2023
- Author(s)
  Matano Hiroshi、Mori Yoichiro、Nara Mitsunori
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 55 Issue: 3 Pages: 1545-1595
- DOI
  10.1137/21m1418095
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03556
[Journal Article] Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on $ \mathbb R^n $2022
- Author(s)
  Nara Mitsunori
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 21 Issue: 11 Pages: 3605-3605
- DOI
  10.3934/cpaa.2022116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03556
[Journal Article] Asymptotic Behavior of Fronts and Pulses of the Bidomain Model2022
- Author(s)
  Matano Hiroshi、Mori Yoichiro、Nara Mitsunori、Sakakibara Koya
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 21 Issue: 1 Pages: 616-649
- DOI
  10.1137/21m1416904
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03556, KAKENHI-PROJECT-18K13455, KAKENHI-PROJECT-17K18732
[Journal Article] Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on $ \mathit{\boldsymbol{\mathbb{R}^N}} $2022
- Author(s)
  Matsuzawa Hiroshi、Nara Mitsunori
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 42 Issue: 10 Pages: 4707-4707
- DOI
  10.3934/dcds.2022069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03556, KAKENHI-PROJECT-20K03709
[Journal Article] Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on R^n2019
- Author(s)
  Hiroshi Matano, Yoichiro Mori and Mitsunori Nara
- Journal Title
  
  A.I.H. Analyse non Lineaire
  
  Volume: 36 Issue: 3 Pages: 585-626
- DOI
  10.1016/j.anihpc.2018.07.003
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02151, KAKENHI-PROJECT-16K05220
[Journal Article] Singular limit of a damped wave equation with a bistable nonlinearity2014
- Author(s)
  Danielle Hilhorst, Mitsunori Nara
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 46 Pages: 1701-1730
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800071
[Journal Article] Large time behavior of disturbed planar fronts in the Allen-Cahn equation2011
- Author(s)
  H. Matano, M. Nara
- Journal Title
  
  Journal of Differential Equations
  
  Volume: Vol.251 Pages: 3522-3557
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740113
[Journal Article] Large time behavior of disturbed planar fronts in the Allen-Cahn equation2011
- Author(s)
  俣野博, 奈良光紀
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 251 Pages: 3522-3557
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740113
[Journal Article] Large time behavior of disturbed planar fronts in the Allen-Cahn equation2011
- Author(s)
  H.Matano
- Journal Title
  
  J.Differential Equations
  
  Volume: 251 Issue: 12 Pages: 3522-3557
- DOI
  10.1016/j.jde.2011.08.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654021, KAKENHI-PROJECT-23244017
[Journal Article] Stability of planar waves in the Allen-Cahn equation2009
- Author(s)
  H. Matano, M. Nara, M. Taniguchi
- Journal Title
  
  Communications in Partial Differential Equations
  
  Volume: Vol.34 Pages: 976-1002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740113
[Journal Article] Stability of planar waves in the Allen-Cahn equation2009
- Author(s)
  俣野博, 奈良光紀, 谷口雅治
- Journal Title
  
  Communications in Partial Differential Equations
  
  Volume: 34 Pages: 976-1002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Stability of front solutions of the bidomain equation on a strip2018
- Author(s)
  Mitsunori Nara
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05220
[Presentation] Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equations on R^n2018
- Author(s)
  奈良光紀
- Organizer
  南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05220
[Presentation] Allen-Cahn方程式における解の時間漸近挙動と平面波の安定性2012
- Author(s)
  奈良光紀
- Organizer
  平成23年度日本数学会東北支部会
- Place of Presentation
  岩手大学(岩手県)(招待講演)
- Year and Date
  2012-02-18
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Allen-Cahn方程式における解の時間漸近挙動と平面波の安定性2012
- Author(s)
  奈良光紀
- Organizer
  平成23年度日本数学会東北支部会
- Place of Presentation
  岩手大学
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Allen-Cahn方程式における解の時間漸近挙動と平面波の安定性2011
- Author(s)
  奈良光紀
- Organizer
  研究集会「非線形現象の数値シミュレーションと解析2011」
- Place of Presentation
  北海道大学
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Large time behavior of disturbed planar fronts in the Allen-Cahn equation2010
- Author(s)
  奈良光紀
- Organizer
  The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Dresden University of Technology (ドイツ)
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Large time behavior of disturbed planar fronts in the Allen-Cahn equation2010
- Author(s)
  奈良光紀
- Organizer
  The 8th AIMS Conference on Dynamical Systems
- Place of Presentation
  ドレスデン工科大学(ドイツ)
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Allen-Cahn方程式と平均曲率流における進行波2009
- Author(s)
  奈良光紀
- Organizer
  日本数学会2009年度秋季総合分科会応用数学分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-21740113
[Presentation] Allen-Cahn方程式と平均曲率流における進行波2009
- Author(s)
  奈良光紀
- Organizer
  日本数学会2009年度秋季総合分科会応用数学分科会
- Place of Presentation
  大阪大学
- Data Source
  KAKENHI-PROJECT-21740113

1. Matano Hiroshi (40126165)

# of Collaborated Projects: 3 results

# of Collaborated Products: 3 results
2. NAKAMURA Ken-Ichi (40293120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. FUNAKI Tadahisa (60112174)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. MORI Yoichiro

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nara Mitsunori 奈良 光紀

NARA Mitsunori 奈良 光紀

Research Projects

Research Products

Co-Researchers

非等方性をもつ非線形現象における進行波とパルス波の解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

非等方性を持つ非線形偏微分方程式における界面ダイナミクスの解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Investigation of the mathematical structure of bidomain models

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Pattern formation and interfacial dynamics in nonlinear partial differential equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies of the interface motion and the signal propagation mechanism in the bidomain model

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis of interfacial phenomena and singularities in nonlinear partial differential equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Qualitative theory of nonlinear partial differential equations and the analysis of singularitiesof

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on interfacial phenomena in nonlinear partial differential equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Stability of front solutions of the bidomain Allen-Cahn equation on an infinite strip2023

Author(s)

Journal Title

Data Source

[Journal Article] Stability of Front Solutions of the Bidomain Allen-Cahn Equation on an Infinite Strip2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on $ \mathbb R^n $2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic Behavior of Fronts and Pulses of the Bidomain Model2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on $ \mathit{\boldsymbol{\mathbb{R}^N}} $2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on R^n2019

Author(s)

Journal Title

Nara Mitsunori 奈良光紀

NARA Mitsunori 奈良光紀