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Hideo Kozono

Hideo Kozono

D-Index & Metrics

Mathematics

D-Index
38
Citations
5716
World Ranking
2361
National Ranking
37

Overview

Hideo Kozono is affiliated with Waseda University in Japan and works primarily in the field of Mathematics, with a focus on applied mathematics, mathematical physics, and computational theory. Their research addresses fundamental problems related to partial differential equations and fluid dynamics.

Kozono's recent publications demonstrate a consistent engagement with Navier-Stokes equations and related mathematical phenomena. Notable papers include:

  • The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary, 2021, Nonlinear Analysis Real World Applications
  • Liouville-type theorems for the Taylor-Couette-Poiseuille flow of the stationary Navier-Stokes equations, 2024, Journal of Fluid Mechanics
  • Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral, 2022, Indiana University Mathematics Journal
  • Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl, 2020, arXiv (Cornell University)
  • The Helmholtz-Weyl decomposition of L^r vector fields for two dimensional exterior domains, 2020, Journal of Geometric Analysis

The core research topics covered by Kozono include:

  • Navier-Stokes equation solutions
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Nonlinear Partial Differential Equations
  • Numerical methods in inverse problems
  • Geometric Analysis and Curvature Flows

The scientist frequently collaborates with several co-authors, notably:

  • Yutaka Terasawa
  • Yuta Wakasugi
  • Senjo Shimizu
  • Matthias Hieber
  • Taku Yanagisawa

In terms of publication venues, Kozono has contributed frequently to:

  • arXiv (Cornell University)
  • Nonlinear Analysis Real World Applications
  • Journal of Differential Equations
  • Journal of Geometric Analysis
  • Journal of Functional Analysis

Kozono has also contributed to academic literature with a book published by Springer International Publishing:

  • Nonlinear Partial Differential Equations for Future Applications, 2021

Their work broadly intersects subfields such as Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Control and Systems Engineering, and Computational Mechanics. This multidisciplinary approach highlights a focus on both theoretical aspects and potential applications in engineering and physics contexts.

Best Publications

  • Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

    Hideo Kozono;Masao Yamazaki

  • The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations

    Hideo Kozono;Takayoshi Ogawa;Yasushi Taniuchi

  • Bilinear estimates in BMO and the Navier-Stokes equations

    Hideo Kozono;Yasushi Taniuchi

  • Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

    Hideo Kozono;Yasushi Taniuchi

  • An Lq-approach to Stokes and Navier-Stokes equations in general domains

    Reinhard Farwig;Hideo Kozono;Hermann Sohr

  • Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid

    Hideo Kozono;Masanari Miura;Yoshie Sugiyama

  • Periodic solutions of the Navier-Stokes equations in unbounded domains

    Hideo Kozono;Hideo Kozono;Mitsuhiro Nakao;Mitsuhiro Nakao

  • NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO

    Hideo Kozono;Takayoshi Ogawa;Yasushi Taniuchi

  • A remark on Liouville-type theorems for the stationary Navier–Stokes equations in three space dimensions

    Hideo Kozono;Yutaka Terasawa;Yuta Wakasugi

  • REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

    Hideo Kozono;Hermann Sohr

  • $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains

    Hideo Kozono;Taku Yanagisawa

  • Upper bound of the best constant of a trudinger-moser inequality and its application to A Gagliardo-Nirenberg inequality

    Hideo Kozono;Tokushi Sato;Hidemitsu Wadade

  • Weak and classical solutions of the two-dimensional magnetohydrodynamic equations

    Hideo Kozono;Hideo Kozono

  • Exterior problem for the stationary Navier-Stokes equations in the Lorentz space

    Hideo Kozono;Masao Yamazaki

  • Global Ln-solution and its decay property for the Navier-Stokes equations in half-space R+n

    Hideo Kozono

  • Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations

    Hideo Kozono;Yukihiro Shimada

  • Regularity criterion on weak solutions to the navier-stokes equations

    Hideo Kozono;Hermann Sohr

  • On the Helmholtz decomposition in general unbounded domains

    Reinhard Farwig;Hideo Kozono;Hermann Sohr

  • The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation

    Hideo Kozono;Masao Yamazaki

  • Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO

    Hideo Kozono;Hidemitsu Wadade

  • On Well—Posedness of the Navier—Stokes Equations

    Hideo Kozono

Frequent Co-Authors

Hermann Sohr
Hermann Sohr University of Paderborn
Herbert Amann
Herbert Amann University of Zurich
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Tohru Ozawa
Tohru Ozawa Waseda University

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