Hirokazu SAITO

Department of Computer and Network EngineeringAssociate Professor
Cluster I (Informatics and Computer Engineering)Associate Professor
Division of General Education(School of Informatics and Engineering )Associate Professor
Division of General Education(Graduate School of Informatics and Engineering)Associate Professor

Degree

  • Doctor of Science, Waseda University, Mar. 2015

Field Of Study

  • Natural sciences, Mathematical analysis

Career

  • Apr. 2020 - Present
    The University of Electro-Communications, Graduate School of Informatics and Engineering, Associate Professor
  • Mar. 2020 - Mar. 2020
    The University of Electro-Communications, School of Informatics and Engineering, Associate Professor
  • 01 Apr. 2018 - 29 Feb. 2020
    Tokyo University of Science, Faculty of Industrial Science and Technology, Liberal Arts, Junior Associate Professor
  • 01 Apr. 2016 - 31 Mar. 2018
    Waseda University, Faculty of Science and Engineering, Assistant Professor
  • 01 Apr. 2015 - 31 Mar. 2016
    Waseda University, Faculty of Science and Engineering, Junior Researcher

Member History

  • Apr. 2024 - Present
    Information Committee, The Division of Functional Equations of the Mathematical Society of Japan, Society

Award

  • Sep. 2020
    The Mathematical Society of Japan
    Mathematical analysis of free boundary problems arising in fluid mechanics
    MSJ Takebe Katahiro Prise, Hirokazu Saito
    Japan society, Japan

Paper

  • On the Solvability of Weak Transmission Problem in Unbounded Domains with Non-compact Boundaries
    Hirokazu Saito; Jiang Xu; Xin Zhang; Wendu Zhou
    Journal of Mathematical Fluid Mechanics, Springer Science and Business Media LLC, 27, 9, 1-31, 2025, Peer-reviwed
    Scientific journal, English
  • Decay properties of the Stokes semigroup for two-phase incompressible viscous flows
    Hirokazu Saito
    Dissertationes Mathematicae, Institute of Mathematics, Polish Academy of Sciences, 598, 1-74, 2024, Peer-reviwed
    Scientific journal, English
  • On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension
    Hirokazu Saito; Yoshihiro Shibata
    Journal of Differential Equations, Elsevier BV, 384, 1-92, 2024, Peer-reviwed
    Scientific journal, English
  • Local Solvability for a Compressible Fluid Model of Korteweg Type on General Domains
    Suma Inna; Hirokazu Saito
    Mathematics, MDPI AG, 11, 10, 1-41, 2023, Peer-reviwed, Invited
    Scientific journal, English
  • Resolvent Estimates for a Compressible Fluid Model of Korteweg Type and Their Application
    Takayuki Kobayashi; Miho Murata; Hirokazu Saito
    Journal of Mathematical Fluid Mechanics, Springer Science and Business Media LLC, 24, 12, 1-42, 2022, Peer-reviwed, Invited
    Scientific journal, English
  • Time-Decay Estimates for Linearized Two-Phase Navier–Stokes Equations with Surface Tension and Gravity
    Hirokazu Saito
    Mathematics, MDPI AG, 9, 7, 1-43, 2021, Peer-reviwed, Invited
    Scientific journal, English
  • Existence of $\mathcal{R}$‐bounded solution operator families for a compressible fluid model of Korteweg type on the half‐space
    Hirokazu Saito
    Mathematical Methods in the Applied Sciences, Wiley, 44, 2, 1744-1787, 2021, Peer-reviwed
    Scientific journal, English
  • Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains
    Hirokazu Saito; Xin Zhang
    Discrete and Continuous Dynamical Systems, American Institute of Mathematical Sciences (AIMS), 41, 10, 4609-4643, 2021, Peer-reviwed
    Scientific journal, English
  • On the maximal $L_p$-$L_q$ regularity for a compressible fluid model of Korteweg type on general domains
    Hirokazu Saito
    Journal of Differential Equations, Elsevier BV, 268, 6, 2802-2851, 2020, Peer-reviwed
    Scientific journal, English
  • Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows
    Hirokazu Saito; Yoshihiro Shibata; Xin Zhang
    SIAM Journal on Mathematical Analysis, Society for Industrial & Applied Mathematics (SIAM), 52, 4, 3397-3443, 2020, Peer-reviwed
    Scientific journal, English
  • On some nonlinear problem for the thermoplate equations
    Suma'inna; Hirokazu Saito; Yoshihiro Shibata
    Evolution Equations and Control Theory, American Institute of Mathematical Sciences (AIMS), 8, 4, 755-784, 2019, Peer-reviwed
    Scientific journal, English
  • Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem
    Hirokazu Saito
    Funkcialaj Ekvacioj, Division of Functional Equations, The Mathematical Society of Japan (JST), 62, 3, 337-386, 2019, Peer-reviwed
    Scientific journal, English
  • Global solvability of the Navier–Stokes equations with a free surface in the maximal $L_p$-$L_q$ regularity class
    Hirokazu Saito
    Journal of Differential Equations, Elsevier BV, 264, 3, 1475-1520, 2018, Peer-reviwed
    Scientific journal, English
  • On the $\mathcal{R}$-boundedness of solution operator families for two-phase Stokes resolvent equations
    Sri Maryani; Hirokazu Saito
    Differential and Integral Equations, Khayyam Publishing, Inc, 30, 1/2, 1-52, 2017, Peer-reviwed
    Scientific journal, English
  • Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids
    Matthias Hieber; Hirokazu Saito
    Journal of Evolution Equations, Springer Science and Business Media LLC, 17, 1, 335-358, 2017, Peer-reviwed, Invited
    Scientific journal, English
  • On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space
    Hirokazu SAITO; Yoshihiro SHIBATA
    Journal of the Mathematical Society of Japan, Mathematical Society of Japan (Project Euclid), 68, 4, 1559-1614, 2016, Peer-reviwed
    Scientific journal, English
  • On the $\mathcal{R}$‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer
    Hirokazu Saito
    Mathematical Methods in the Applied Sciences, Wiley, 38, 9, 1888-1925, 2015, Peer-reviwed
    Scientific journal, English

Books and other publications

  • Fluids Under Pressure
    Yoshihiro Shibata; Hirokazu Saito
    Scholarly book, English, Contributor, Chapter 3, xiii, 638, 157-347, Birkhäuser, Springer, 2020, Peer-reviwed, 9783030396381

Lectures, oral presentations, etc.

  • Asymptotic stability of the trivial steady state for the two-phase Navier-Stokes equations
    Hirokazu Saito
    Invited oral presentation, Japanese, MSJ Autumn Meeting 2023, Invited
    23 Sep. 2023
    20 Sep. 2023- 23 Sep. 2023
  • On the two-phase free boundary problem for incompressible viscous flows
    Hirokazu Saito
    Invited oral presentation, Japanese, Annual Conference of the Division of Functional Equations of MSJ, Invited
    19 Dec. 2020
    19 Dec. 2020- 20 Dec. 2020

Affiliated academic society

  • Jan. 2017 - Present
    The Japan Society of Fluid Mechanics
  • Oct. 2012 - Present
    The Mathematical Society of Japan

Research Themes

  • Stability of solutions of two-phase flow equations
    Hirokazu Saito
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, The University of Electro-Communications, Early-Career Scientists, Principal investigator, 21K13817
    Apr. 2021 - Mar. 2026
  • Mathematical analysis of two-phase flow equations in unbounded domains
    Hirokazu Saito
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Young Scientists (B), Principal investigator, 17K14224
    Apr. 2017 - Mar. 2021
  • Free boundary problems of incompressible viscous fluid flows
    Hirokazu Saito
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Waseda University, Grant-in-Aid for JSPS Fellows, Principal investigator, 13J05259
    Apr. 2013 - Mar. 2015

Academic Contribution Activities

  • Seminar on Mathematical Fluid Mechanics
    Academic society etc, Planning etc, Takayuki Kubo, Miho Murata, Hirokazu Saito, Keiichi Watanabe, Dec. 2023 - Present
  • RIMS Workshop on Mathematical Analysis of Viscous Incompressible Fluid
    Academic society etc, Planning etc, Yasunori Maekawa, Hirokazu Saito, Ryo Takada, Dec. 2023 - Present