Ushijima Takeo 牛島健夫

… Alternative Names

USHIJIMA TAKEO 牛島健夫

USHIJIMA Takeo 牛島健夫

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Researcher Number	30339113
Other IDs
External Links
Affiliation (Current)	2025: 東京理科大学, 創域理工学部数理科学科, 教授
Affiliation (based on the past Project Information) *help	2025: 東京理科大学, 創域理工学部数理科学科, 教授 2021 – 2022: 東京理科大学, 理工学部数学科, 教授 2018 – 2020: 東京理科大学, 理工学部数学科, 准教授 2008 – 2009: Tokyo University of Science, 理工学部, 准教授 2001 – 2007: 東京理科大学, 理工学部, 講師 2003: USHIJIMA,Takeo, 理工学部, 助教授
Review Section/Research Field	Principal Investigator Basic Section 12040:Applied mathematics and statistics-related / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator Basic analysis / Basic analysis / Global analysis
Keywords	Principal Investigator クリスタライン・アルゴリズム / 数値解析 / クリスタライン曲率流 / 面積保存の曲率流 / 解の爆発 / 数値手法 / 非線形微分方程式 / 非線型微分方程式 / 非線形方程式 / 爆発レート … More / 非線形発展方程式 / 数値計算 / 爆発解 / 曲率流 / リスケーリング・アルゴリズム / 直接法 / 移動境界問題 / Hele-Shaw問題 / クリスタライン曲率 / Helle-Shaw問題 / ガウス曲率流 / 自由境界問題 / 曲率流方程式 / 非線形放物型方程式 … More Except Principal Investigator Kirchhoff方程式 / 消散項 / quasilinear hyperbolic equation / asymptotic behavior / damping term / abstract wave equation / 準線型方程式 / 減衰 / 準線型双曲型方程式 / 漸近挙動 / 摩擦項 / 抽象波動方程式 / decay estimate / linear wave equations / spectral decomposition / forcing term / dissipative term / hyperbolic equations / global solvability / Kirchhoff equations / 減衰評価 / 線形波動方程式 / スペクトラル分解 / 外力 / 双曲型偏微分方程式 / 大域的可解性 / energy functional / Finsler manifold / Harmonic maps / regularity / Variattional Problems / エネルギー汎関数 / フィンスラー多様体 / 調和写像 / 正則性 / 変分問題 / 非線形解析 / 関数方程式論 / 解析学 / 特異摂動問題 / 双曲型方程式 Less

非線形偏微分方程式の解に現れる特異性の数値解析的及び数理解析的手法による解明Principal Investigator
- Principal Investigator
  
  牛島健夫
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Tokyo University of Science
A numerical study for complex blow-up solutions of nonlinear evolution equationsPrincipal Investigator
- Principal Investigator
  
  USHIJIMA TAKEO
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Tokyo University of Science
A study of direct methods for moving boundary problems and its applicationsPrincipal Investigator
- Principal Investigator
  
  USHIJIMA Takeo
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo University of Science
Nonlinear hyperbolic-parabolic singular perturbation
- Principal Investigator
  
  YAMAZAKI Taeko
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo University of Science
Asymptotic behavior for wave equations with damping term
- Principal Investigator
  
  YAMAZAKI Taeko
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo University of Science
自由境界問題と放物型偏微分方程式に現れる特異性の研究-その数値的再現と応用Principal Investigator
- Principal Investigator
  
  牛島健夫
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo University of Science
非線形放物型偏微分方程式の解の特異性の解明Principal Investigator
- Principal Investigator
  
  牛島健夫
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo University of Science
Research on the time global solutions for the partial differential equations of Kirchhoff type
- Principal Investigator
  
  YAMAZAKI Taeko
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo University of Science
Research on the Regularity of Solutions for Geometric Variational Problems
- Principal Investigator
  
  TACHIKAWA Atsushi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo University of Science

All 2023 2022 2021 2019 2018 2008 2006 2005 2004

All Journal Article Presentation Book

[Book] 数理科学2008
- Author(s)
  牛島健夫, 矢崎成俊, 泡の動きを視る
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-19540147
[Journal Article] Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation.2022
- Author(s)
  Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo
- Journal Title
  
  Jpn. J. Ind. Appl. Math.
  
  Volume: 39 Issue: 3 Pages: 889-920
- DOI
  10.1007/s13160-022-00532-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03427, KAKENHI-PROJECT-23K20813, KAKENHI-PROJECT-19H05599
[Journal Article] Traveling wave solution fora diffusive epidemic model with a free boundary2021
- Author(s)
  Yoichi Enatsu, Emiko Ishiwata, Takeo Ushijima
- Journal Title
  
  Discrete and Continuous Dynamical Systems - Series S
  
  Volume: 14 Issue: 3 Pages: 835-850
- DOI
  10.3934/dcdss.2020387
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03424, KAKENHI-PROJECT-18K03427, KAKENHI-PROJECT-19K14598
[Journal Article] Approximation of the Gauss curvature flow by a three-dimensional crystalline motion2006
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005, COE Lecture Note 3, Kyushu University
  
  Pages: 139-145
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Towards Modelling the Motion of Rising Air Bubbles in a Hele-Shaw Cell2006
- Author(s)
  Takeo K.Ushijima, Shigetoshi Yazaki
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005
  
  Pages: 146-152
- Data Source
  KAKENHI-PROJECT-16740061
[Journal Article] On the convergence of a three-dimensional crystalline motion to Gauss curvature flow2006
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  数理解析研究所講究録 1481
  
  Pages: 69-78
- Data Source
  KAKENHI-PROJECT-16740061
[Journal Article] Approximation of the Gauss curvature flow by a three-dimensional crystalline motion2006
- Author(s)
  Takeo K.Ushijima, Shigetoshi Yazaki
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005
  
  Pages: 139-145
- Data Source
  KAKENHI-PROJECT-16740061
[Journal Article] Towards Modelling the Motion of Rising Air Bubbles in a Hele-Shaw Cell2006
- Author(s)
  Takeo K.Ushijima, Shigetoshi Yazaki
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005, COE Lecture Note : Kyushu University
  
  Pages: 146-152
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Towards Modelling the Motion of Rising Air Bubbles in a Hele-Shaw Cell2006
- Author(s)
  Takeo K.Ushijima, Shigetoshi Yazaki
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005, COE Lecture Note 3, Kyushu University
  
  Pages: 146-152
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] On the convergence of a three-dimensional crystalline motion to Gauss curvature flow2006
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  数理解析研究所講究録 1481
  
  Pages: 69-78
- NAID
  10016794291
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Approximation of the Gauss curvature flow by a three-dimensional crystalline motion2006
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005, COE Lecture Note : Kyushu University
  
  Pages: 146-152
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] On the convergence of a three-dimensional crystalline motion to Gauss curvature flow2006
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  RIMS Kokyuroku 1481
  
  Pages: 69-783
- NAID
  10016794291
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Convergence of a three-dimensional crystalline motion to Gauss curvature flow2005
- Author(s)
  Takeo K., Ushijima, Hiroki Yagisita
- Journal Title
  
  Japan Journal of Applied Mathematics 22
  
  Pages: 443-459
- NAID
  10016794291
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Hele-Shawセル中を浮上する一つの泡のダイナミクスのシミュレーション2005
- Author(s)
  牛島健夫, 矢崎成俊
- Journal Title
  
  数理解析研究所講究録 1453
  
  Pages: 73-84
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Hele-Shawセル中を浮上する一つの泡のダイナミクスのシミュレーション2005
- Author(s)
  牛島健夫, 矢崎成俊
- Journal Title
  
  数理解析研究所講究録 1453
  
  Pages: 73-84
- Data Source
  KAKENHI-PROJECT-16740061
[Journal Article] Convergence of a three-dimensional crystalline motion to Gauss curvature flow2005
- Author(s)
  Takeo K.USHIJIMA, Hiroki Yagisita
- Journal Title
  
  Japan Journal of Applied Mathematics 22
  
  Pages: 443-459
- NAID
  10016794291
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] On a simulation of a single floating bubble in Hele-Shaw cell2005
- Author(s)
  Takeo K.Ushijima, Shigetoshi Yazaki
- Journal Title
  
  RIMS Kokyuroku 1453
  
  Pages: 73-84
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Convergence of a three-dimensional crystalline motion to Gauss curvature flow2005
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  Japan J.Indust.Appl.Math. 22・3
  
  Pages: 443-459
- NAID
  10016794291
- Data Source
  KAKENHI-PROJECT-17540173
[Journal Article] Convergence of a three-dimensional crystalline motion to Gauss curvature flow2005
- Author(s)
  Takeo K.Ushijima, Hiroki Yagisita
- Journal Title
  
  Japan J.Indust.Appl.Math. 22・3
  
  Pages: 443-459
- Data Source
  KAKENHI-PROJECT-16740061
[Journal Article] Two examples of nonconvex self-similar solution curves for a crystalline curvature flow2004
- Author(s)
  Tetsuya Ishiwata, Takeo K.Ushijima, Hiroki Yagisita, Shigetoshi Yazaki
- Journal Title
  
  Proc.Japan Acad.Ser.A Math.Sci. 80
  
  Pages: 151-154
- Data Source
  KAKENHI-PROJECT-16740061
[Presentation] 曲率流に関係するある準線形放物型方程式の爆発解について2023
- Author(s)
  牛島健夫
- Organizer
  非線形現象の数値シミュレーションと解析2023
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] 曲線短縮問題に現れる準線形放物型偏微分方程式に対する爆発解の上からの評価について2022
- Author(s)
  穴田浩一，石渡哲哉，牛島健夫
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] Upper estimates for blow-up solutions of a quasi-linear parabolic equation2021
- Author(s)
  穴田浩一，石渡哲哉，牛島健夫
- Organizer
  応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] Asymptotic Expansions of Traveling Wave Solutions for a Quasilinear Parabolic Equation2021
- Author(s)
  Koichi Anada, Tetsuya Ishiwata, Takeo Ushijima
- Organizer
  Czech-Japanese Seminar in Applied Mathematics 2021
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] ある準線形放物型偏微分方程式の解の爆発について2021
- Author(s)
  牛島健夫，穴田浩一，石渡哲哉
- Organizer
  Critical Exponent and Nonlinear Partial Differential Equations 2021
- Invited
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] On a numerical method for estimating blow-up rates2019
- Author(s)
  Takeo Ushijima
- Organizer
  ICIAM 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] 曲線短縮問題に現れる準線形放物型偏微分方程式に対する爆発解の漸近挙動に関する一考察2019
- Author(s)
  穴田浩一, 石渡哲哉, 牛島健夫
- Organizer
  日本応用数理学会年会
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] A numerical estimating method of blow-up rates for nonlinear evolution equations with a scale invariance2018
- Author(s)
  Takeo Ushijima
- Organizer
  13th SIAM East Asian Section Conference 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] スケール変換不変性を利用した複雑な爆発レートの数値的推定2018
- Author(s)
  牛島健夫
- Organizer
  数理工学センター（MCME）セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] On a numerical method for estimating blow-up rates of nonlinear evolution equations2018
- Author(s)
  Takeo Ushijima
- Organizer
  2018 China-Japan Workshop on Nonlinear Diffusion Problems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] On a Numerical Method for Estimating Blow-Up Rates for Nonlinear Evolution Equations2018
- Author(s)
  Takeo Ushijima
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03427
[Presentation] 方程式のスケール不変性を用いた爆発解の爆発レートの数値的推定方法2018
- Author(s)
  牛島健夫
- Organizer
  RIMS 共同研究 (公開型)「次世代の科学技術を支える数値解析学の基盤整備と応用展開」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03427

1. YAMAZAKI Taeko (60220315)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. KOBAYASHI Takao (90178319)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. TACHIKAWA Atsushi (50188257)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. KOBAYASHI Reido (70120186)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. ISHIWATA Tetsuya (50334917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. YAZAKI Shigetoshi (00323874)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
7. OGAWA Masao (50408704)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. WATANABE Michiyuki (90374181)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. FURUTANI Kenro (70112901)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. NAGASAWA Takeyuki (70202223)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. TANAKA Makiko (20255623)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. OKA Satoshi (70120178)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. YAGISITA Hiroki (80349828)

# of Collaborated Projects: 1 results

# of Collaborated Products: 7 results
14. 松山登喜夫 (70249712)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 松田真美 (90339127)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 石渡恵美子

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ushijima Takeo 牛島 健夫

USHIJIMA TAKEO 牛島 健夫

USHIJIMA Takeo 牛島 健夫

Research Projects

Research Products

Co-Researchers

非線形偏微分方程式の解に現れる特異性の数値解析的及び数理解析的手法による解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A numerical study for complex blow-up solutions of nonlinear evolution equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study of direct methods for moving boundary problems and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Nonlinear hyperbolic-parabolic singular perturbation

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Asymptotic behavior for wave equations with damping term

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

自由境界問題と放物型偏微分方程式に現れる特異性の研究-その数値的再現と応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

非線形放物型偏微分方程式の解の特異性の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on the time global solutions for the partial differential equations of Kirchhoff type

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on the Regularity of Solutions for Geometric Variational Problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 数理科学2008

Author(s)

Publisher

Data Source

[Journal Article] Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation.2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Traveling wave solution fora diffusive epidemic model with a free boundary2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Approximation of the Gauss curvature flow by a three-dimensional crystalline motion2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] Towards Modelling the Motion of Rising Air Bubbles in a Hele-Shaw Cell2006

Ushijima Takeo 牛島健夫

USHIJIMA TAKEO 牛島健夫

USHIJIMA Takeo 牛島健夫