Hirokazu SAITO

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

Degree

  • Doctor of Science, Waseda University, Mar. 2015

Field Of Study

  • Natural sciences, Mathematical analysis, Partial differential equations

Career

  • Apr. 2020 - Present
    The University of Electro-Communications, Graduate School of Informatics and Engineering, Associate Professor, Japan
  • Mar. 2020 - Mar. 2020
    The University of Electro-Communications, School of Informatics and Engineering, Associate Professor, Japan
  • Apr. 2018 - Feb. 2020
    Tokyo University of Science, Faculty of Industrial Science and Technology, Liberal Arts, Junior Associate Professor, Japan
  • Apr. 2016 - Mar. 2018
    Waseda University, Faculty of Science and Engineering, Assistant Professor, Japan
  • Apr. 2015 - Mar. 2016
    Waseda University, Faculty of Science and Engineering, Junior Researcher, Japan
  • Apr. 2013 - Mar. 2015
    Japan Society for the Promotion of Science, Research Fellow (DC2), Japan

Educational Background

  • Apr. 2012 - Mar. 2015
    Waseda University, Graduate School of Fundamental Science and Engineering, Doctoral Program in Pure and Applied Mathematics, Japan
  • Apr. 2010 - Mar. 2012
    Waseda University, Graduate School of Fundamental Science and Engineering, Master’s Program in Pure and Applied Mathematics, Japan
  • Apr. 2006 - Mar. 2010
    Waseda University, School of Science and Engineering, Department of Mathematical Sciences, Japan

Member History

  • Apr. 2024 - Mar. 2026
    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 asymptotic stability for the two-phase Navier–Stokes equations with surface tension and gravity
    Hirokazu Saito
    Mathematische Annalen, Springer Science and Business Media LLC, 394, 4, Paper No. 86, 1-101, Mar. 2026, Peer-reviwed
    Scientific journal, English
  • Global solvability for viscous free surface flows of infinite depth in three and higher dimensions
    Hirokazu Saito; Yoshihiro Shibata
    Nonlinear Analysis, Elsevier BV, 264, Paper No. 113985, 1-58, Mar. 2026, Peer-reviwed
    Scientific journal, English
  • Global solvability for a two-phase problem of inhomogeneous incompressible viscous fluids
    Kenta Oishi; Hirokazu Saito
    Calculus of Variations and Partial Differential Equations, Springer Science and Business Media LLC, 64, 9, Paper No. 289, 1-95, Dec. 2025, Peer-reviwed
    Scientific journal, English
  • 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, 1, Paper No. 9, 1-31, Feb. 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, Oct. 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, Mar. 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, Paper No. 2368, 1-41, May 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, 1, Paper No. 12, 1-42, Feb. 2022, Peer-reviwed, Invited
    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, Oct. 2021, Peer-reviwed
    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, Paper No. 761, 1-43, Apr. 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, Jan. 2021, 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, Aug. 2020, 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, Mar. 2020, 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, Dec. 2019, 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, Jun. 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, Feb. 2018, 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, Mar. 2017, Peer-reviwed, Invited
    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, Jan. 2017, Peer-reviwed
    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, Oct. 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, Jun. 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 Cham, Apr. 2020, Peer-reviwed, 9783030396381

Lectures, oral presentations, etc.

  • On the dispersive effect of internal gravity waves in two-phase incompressible viscous flows
    Hirokazu Saito
    Invited oral presentation, English, Equadiff 2026, Invited, https://www.equadiff2026.cz/homepage, Czech Republic
    01 Jul. 2026
    29 Jun. 2026- 03 Jul. 2026
  • 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, https://www.mathsoc.jp/~dfe/dfe-sp-lec.html, Japan
    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, https://www.mathsoc.jp/~dfe/dfe-kouenkai.html, Japan
    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

  • Mathematical analysis of internal waves for two-phase incompressible viscous flows
    Hirokazu Saito
    Japan Society for the Promotion of Science, KAKENHI, The University of Electro-Communications, Grant-in-Aid for Scientific Research (C), Principal investigator, 26K06862
    Apr. 2026 - Mar. 2029
  • Stability of solutions of two-phase flow equations
    Hirokazu Saito
    Japan Society for the Promotion of Science, KAKENHI, The University of Electro-Communications, Grants-in-Aid for 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, KAKENHI, 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, KAKENHI, Waseda University, Grant-in-Aid for JSPS Fellows, Principal investigator, 13J05259
    Apr. 2013 - Mar. 2015

Academic Contribution Activities