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Last Updated :2025/02/05

Ryuichi Sato

Faculty of Science
Assistant Lecturer/Assistant professor

Profile非線形境界条件や非線形拡散を持つ放物型の問題の研究に取り組んでいます.

Researcher information

■ Degree
  • 博士(理学), 東北大学, Mar. 2017
■ Research Keyword
  • 偏微分方程式
  • nonlinear boundary condition
  • nonlinear diffusion equation
■ Field Of Study
  • Natural sciences, Mathematical analysis, 偏微分方程式論

Career

■ Career
  • Apr. 2021 - Present
    Fukuoka University, Faculty of Science Department of Applied Mathematics, Researcher
  • Oct. 2020 - Mar. 2021
    東京大学大学院数理科学研究科, 特任研究員
  • Apr. 2020 - Sep. 2020
    Tohoku University, Research Alliance Center for Mathematical Sciences Department of Pattern Dynamics Analysis, 助教
  • May 2018 - Mar. 2020
    Tohoku University, Graduate School of Science Department of Mathematics, 助教
  • Apr. 2018 - Apr. 2018
    東北大学大学院, 理学研究科, 学術研究員
  • Apr. 2017 - Mar. 2018
    Tohoku University, Graduate School of Science Department of Mathematics, 助教
■ Educational Background
  • Apr. 2014 - Mar. 2017
    東北大学大学院, 理学研究科, 数学専攻博士課程後期3年の課程
  • Apr. 2012 - Mar. 2014
    東北大学大学院, 理学研究科, 数学専攻博士課程前期2年の課程
  • Apr. 2008 - Mar. 2012
    Meiji University, School of Science and Technology, Department of Mathematics

Research activity information

■ Paper
  • General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data
    Goro Akagi; Kazuhiro Ishige; Ryuichi Sato
    Journal of Functional Analysis, May 2023, 284(10-109891):1 - 86, Refereed
    Last
  • Existence of global-in-time solutions to a system of fully nonlinear parabolic equations
    Takahiro Kosugi; Ryuichi Sato
    Acta Appl. Math., 2022, 181, Refereed
    Corresponding
  • Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces
    Md. Rabiul Haque; Norisuke Ioku; Takayoshi Ogawa; Ryuichi Sato
    Differential and Integral Equations, 2021, 34(3-4):223 - 244, Refereed
  • Large time behavior of ODE type solutions to parabolic $p$-Laplacian type equations
    J. Eom; R. Sato
    Commun. Pure Appl. Anal., Sep. 2020, 19(9):4373 - 4386, Refereed
  • The Cauchy problem for the Finsler heat equation
    Goro Akagi; Kazuhiro Ishige; Ryuichi Sato
    Adv. Calc. Var., Mar. 2020, 13(3):257 - 278, Refereed
  • Existence of weak solutions to a convection-diffusion equation in a uniformly Lebesgue space
    Md. Rabiul Haque; Takayoshi Ogawa; Ryuichi Sato
    Comm. Pure Appl. Anal, 2020, Refereed
  • Critical exponents for the fast diffusion equation with a nonlinear boundary condition
    Ryuichi Sato; Jin Takahashi
    J. Math. Anal. Appl., 2020, Refereed
  • Existence of solutions to the slow diffusion equation with a nonlinear source.
    SATO Ryuichi
    J. Math. Anal. Appl., 2020, 484(2), Refereed
  • HEAT EQUATION WITH A NONLINEAR BOUNDARY CONDITION AND GROWING INITIAL DATA
    Kazuhiro Ishige; Ryuichi Sato
    DIFFERENTIAL AND INTEGRAL EQUATIONS, Jul. 2017, 30(7-8):481 - 504, Refereed
  • HEAT EQUATION WITH A NONLINEAR BOUNDARY CONDITION AND UNIFORMLY LOCAL $L^r$ SPACES
    Kazuhiro Ishige; Ryuichi Sato
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, May 2016, 36(5):2627 - 2652, Refereed
■ MISC
  • Local existence of solutions for the heat equation with a nonlinear boundary condition (Shapes and other properties of the solutions of PDEs)
    Ishige Kazuhiro; Sato Ryuichi
    RIMS Kokyuroku, Nov. 2015, 1974:1 - 19
■ Lectures, oral presentations, etc.
  • Existence of global-in-time solutions to a system of fully nonlinear parabolic equations
    Ryuichi Sato
    OIST Workshop for Geometric Aspects of Partial Differential Equations, 16 Jan. 2024
  • On existence of solutions to a system of fully nonlinear parabolic equations
    Ryuichi Sato
    Workshop on Nonlinear Partial Differential Equations – China-Japan Joint Project for Young Mathematicians 2023, 19 Nov. 2023
■ Courses
  • 応用微分積分入門
    福岡大学
  • 解析学A
    九州工業大学(非常勤)
  • 応用線形代数入門
    福岡大学
  • Applied analsys
    Fukuoka University
  • Applied linear algebla
    Fukuoka University
  • Analysis
    Kyushu Institute of Technology
  • 応用微分積分入門
    20 Sep. 2021
    Fukuoka University
  • 情報実習
    20 Sep. 2021
    Fukuoka University
  • 数学総合I
    20 Apr. 2021
    Fukuoka University
  • Analysis Tutorial D
    20 Oct. 2019
    Tohoku University, Faculty of Science
  • Analysis Tutorial A2
    20 Apr. 2019
    Tohoku University, Faculty of Science
  • 応用統計学
    福島大学
  • 確率統計学
    福島大学
  • 物理学演習
    東北大学理学部
■ Affiliated academic society
  • THE MATHEMATICAL SOCIETY OF JAPAN
■ Research Themes
  • 拡散型非線形発展方程式に対する定量的解析
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    Tohoku University
    07 Oct. 2021 - 31 Mar. 2027
  • 拡散方程式と非線形境界条件の数学解析
    日本学術振興会, 科研費(若手研究)
    Apr. 2018 - Mar. 2022
■ Social Contribution Activities
  • 色々な方程式を解いてみよう
    lecturer
    川井数理科学財団, 第25回 高校生のための仙台数学セミナー, 08 Aug. 2018, 10 Aug. 2018