Sato Ryuichi 佐藤龍一

Researcher Number	20802599
Other IDs
Affiliation (Current)	2025: 岩手大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 福岡大学, 理学部, 助教 2020: 東京大学, 大学院数理科学研究科, 特任研究員 2019: 東北大学, 理学研究科, 助教 2018: 東北大学, 理学研究科, 学術研究員
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 拡散方程式 / 多孔質媒質 / 移流拡散 / 多孔質媒質方程式 / 解の爆発 / 放物型方程式 / 非線形境界条件 / 非線形拡散 / 粘性解 / 時間大域解 / 非線形拡散方程式 … More Except Principal Investigator … More 関数解析 / 発展方程式 / 定量的解析 / 漸近挙動 / 非線形拡散方程式 Less

Quantitative analysis for nonlinear evolution equations of diffusion type
- Principal Investigator
  
  赤木剛朗
- Project Period (FY)
  2021 – 2026
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Tohoku University
Analysis on diffusion equations and nonlinear boundary conditionsPrincipal Investigator
- Principal Investigator
  
  Sato Ryuichi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Fukuoka University
  The University of Tokyo
  Tohoku University

All 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data2023
- Author(s)
  Akagi Goro、Ishige Kazuhiro、Sato Ryuichi
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 284 Issue: 10 Pages: 109891-109891
- DOI
  10.1016/j.jfa.2023.109891
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K18581, KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-20H01812
[Journal Article] Evolution equations with complete irreversibility and energy conservation2023
- Author(s)
  Akagi Goro、Sato Kotaro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 527 Issue: 1 Pages: 127348-127348
- DOI
  10.1016/j.jmaa.2023.127348
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K18581, KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-20H01812
[Journal Article] Existence of Global-in-Time Solutions to a System of Fully Nonlinear Parabolic Equations2022
- Author(s)
  Kosugi Takahiro、Sato Ryuichi
- Journal Title
  
  Acta Applicandae Mathematicae
  
  Volume: 181 Issue: 1 Pages: 1-24
- DOI
  10.1007/s10440-022-00533-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21KK0044, KAKENHI-PROJECT-18K13435, KAKENHI-PROJECT-18K13436
[Journal Article] Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces2021
- Author(s)
  Md. Rabiul Haque, Norisuke Ioku, Takayoshi Ogawa, Ryuichi Sato.
- Journal Title
  
  Differenrial Integral Equations
  
  Volume: 34 Pages: 223-244
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13435
[Journal Article] Critical exponents for the fast diffusion equation with a nonlinear boundary condition2020
- Author(s)
  Sato Ryuichi、Takahashi Jin
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 482 Issue: 1 Pages: 123526-123526
- DOI
  10.1016/j.jmaa.2019.123526
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13435, KAKENHI-PROJECT-19K14567
[Journal Article] Existence of weak solutions to a convection diffusion equation in a uniformly local lebesgue space2020
- Author(s)
  Rabiul Haque Md., Mathematical Institute, Tohoku University, Sendai 980-8578, Japan、Ogawa Takayoshi、Sato Ryuichi、,Mathematical Institute/Research Alliance Center of Mathematical Science, Tohoku University, Sendai 980-8578, Japan
- Journal Title
  
  Communications on Pure & Applied Analysis
  
  Volume: 19 Issue: 2 Pages: 677-697
- DOI
  10.3934/cpaa.2020031
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13435, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05597
[Journal Article] Existence of solutions to the slow diffusion equation with a nonlinear source2020
- Author(s)
  Sato Ryuichi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 484 Issue: 2 Pages: 123721-123721
- DOI
  10.1016/j.jmaa.2019.123721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] On some quasistatic evolution equation arising from fracture mechanics2023
- Author(s)
  赤木剛朗, 佐藤光汰朗（登壇者）
- Organizer
  日本数学会 2023 年度年会, 函数方程式論分科会, 中央大学
- Data Source
  KAKENHI-PROJECT-21KK0044
[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2022
- Author(s)
  Ryuichi Sato
- Organizer
  青葉山勉強会（第16回） “Reaction-Diffusion Equations”
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] On existence of solutions to a system of fully nonlinear parabolic equations2022
- Author(s)
  佐藤龍一
- Organizer
  日本数学会2022年度年会
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Existence of global-in-time solutions to a system of fully nonlinear parabolic equations2022
- Author(s)
  Ryuichi Sato
- Organizer
  RIMS研究集会, 偏微分方程式の臨界現象と正則性理論及び漸近解析
- Invited
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] 完全非線形藤田型方程式系の時間大域解の存在について2021
- Author(s)
  佐藤龍一, 小杉卓裕
- Organizer
  第47回発展方程式研究会 (zoom)
- Data Source
  KAKENHI-PROJECT-21KK0044
[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2021
- Author(s)
  佐藤龍一
- Organizer
  第253回広島数理解析セミナー
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] 完全非線形放物型連立系の時間大域解の存在2021
- Author(s)
  佐藤龍一
- Organizer
  九州関数方程式セミナー
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Existence of solutions to a nonlinear diffusion equation in uniformly local Lebesgue space2020
- Author(s)
  Ryuichi Sato
- Organizer
  福岡大学理学部応用数学科談話会
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] 非線形境界条件付き拡散方程式の解の存在と爆発2020
- Author(s)
  Ryuichi Sato
- Organizer
  第10回非線形発展方程式セミナー＠KUE
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2020
- Author(s)
  Ryuichi Sato
- Organizer
  福岡大学解析セミナー
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Local and global existence of slow diffusion equation with a nonlinear source2019
- Author(s)
  佐藤龍一
- Organizer
  2019年日本数学会年会
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2019
- Author(s)
  佐藤龍一
- Organizer
  第166回神楽坂解析セミナー
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2019
- Author(s)
  佐藤龍一
- Organizer
  偏微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-18K13435
[Presentation] Global existence in critical space for a nonlinear diffusion equation with a nonlinear source2018
- Author(s)
  Ryuichi Sato
- Organizer
  The AIMS Conference series on dynamical systems and differential equations, Asymptotics for Nonlinear Diffusion Equations and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13435

1. 赤木剛朗 (60360202)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
2. 中村健一 (40293120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 松澤寛 (80413780)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 村川秀樹 (40432116)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 兼子裕大 (40773916)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. Cavallina Lorenzo (40881264)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Sato Ryuichi 佐藤 龍一

Research Projects

Research Products

Co-Researchers

Quantitative analysis for nonlinear evolution equations of diffusion type

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis on diffusion equations and nonlinear boundary conditionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Evolution equations with complete irreversibility and energy conservation2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of Global-in-Time Solutions to a System of Fully Nonlinear Parabolic Equations2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces2021

Author(s)

Journal Title

Data Source

[Journal Article] Critical exponents for the fast diffusion equation with a nonlinear boundary condition2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of weak solutions to a convection diffusion equation in a uniformly local lebesgue space2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of solutions to the slow diffusion equation with a nonlinear source2020

Author(s)

Journal Title

DOI

Data Source

[Presentation] On some quasistatic evolution equation arising from fracture mechanics2023

Author(s)

Organizer

Data Source

[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2022

Author(s)

Organizer

Data Source

[Presentation] On existence of solutions to a system of fully nonlinear parabolic equations2022

Author(s)

Organizer

Data Source

[Presentation] Existence of global-in-time solutions to a system of fully nonlinear parabolic equations2022

Author(s)

Organizer

Data Source

[Presentation] 完全非線形藤田型方程式系の時間大域解の存在について2021

Author(s)

Organizer

Data Source

[Presentation] Existence of solutions to the slow diffusion equation with a nonlinear source2021

Author(s)

Organizer

Data Source

[Presentation] 完全非線形放物型連立系の時間大域解の存在2021

Author(s)

Organizer

Data Source

[Presentation] Existence of solutions to a nonlinear diffusion equation in uniformly local Lebesgue space2020

Author(s)

Sato Ryuichi 佐藤龍一