Hideo Kozono - My portal

Profile Information

Affiliation: Professor, Faculty of Science and Engineering School of Fundamental Science and Engineering, Waseda University

Degree: 博士

Researcher number: 00195728
J-GLOBAL ID: 200901090553313543
researchmap Member ID: 5000041945

Papers

Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data

Reinhard Farwig, Hideo Kozono, David Wegmann

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 453(1) 271-286, Sep, 2017 Peer-reviewed
Hadamard variational formula for eigenvalues of the Stokes equations and its application

Shuichi Jimbo, Hideo Kozono, Yoshiaki Teramoto, Erika Ushikoshi

MATHEMATISCHE ANNALEN, 368(1-2) 877-884, Jun, 2017 Peer-reviewed
Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

Itsuko Hashimoto, Hideo Kozono

JOURNAL OF DIFFERENTIAL EQUATIONS, 262(10) 5133-5159, May, 2017 Peer-reviewed
A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

JOURNAL OF FUNCTIONAL ANALYSIS, 272(2) 804-818, Jan, 2017 Peer-reviewed
Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid

Hideo Kozono, Masanari Miura, Yoshie Sugiyama

JOURNAL OF FUNCTIONAL ANALYSIS, 270(5) 1663-1683, Mar, 2016 Peer-reviewed
Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force

Hideo Kozono, Yuki Mashiko, Ryo Takada

JOURNAL OF EVOLUTION EQUATIONS, 14(3) 565-601, Sep, 2014 Peer-reviewed
Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality

Reinhard Farwig, Hideo Kozono

JOURNAL OF DIFFERENTIAL EQUATIONS, 256(7) 2633-2658, Apr, 2014 Peer-reviewed
Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition

Naoya Kanbayashi, Hideo Kozono, Takahiro Okabe

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 409(1) 378-392, Jan, 2014 Peer-reviewed
Leray's problem on $D$-solutions to the stationary Navier-Stokes equations past an obstacle (Mathematical Analysis of Incompressible Flow)

Heck Horst, Kim Hyunseok, KOZONO Hideo

RIMS Kokyuroku, 1875 19-28, Jan, 2014
Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems

Hideo Kozono, Taku Yanagisawa

MANUSCRIPTA MATHEMATICA, 141(3-4) 637-662, Jul, 2013 Peer-reviewed
Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle

Horst Heck, Hyunseok Kim, Hideo Kozono

MATHEMATISCHE ANNALEN, 356(2) 653-681, Jun, 2013 Peer-reviewed
Hadamard Variational Formula for the Green's Function of the Boundary Value Problem on the Stokes Equations

Hideo Kozono, Erika Ushikoshi

Archive for Rational Mechanics and Analysis, 208(3) 1005-1055, 2013
Global Compensated Compactness Theorem for General Differential Operators of First Order

Hideo Kozono, Taku Yanagisawa

Archive for Rational Mechanics and Analysis, 207(3) 879-905, 2013
On the stationary Navier-Stokes equations in exterior domains

Hyunseok Kim, Hideo Kozono

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 395(2) 486-495, Nov, 2012 Peer-reviewed
Existence and uniqueness theorem on weak solutions to the parabolic-elliptic Keller-Segel system

Hideo Kozono, Yoshie Sugiyama, Yumi Yahagi

JOURNAL OF DIFFERENTIAL EQUATIONS, 253(7) 2295-2313, Oct, 2012 Peer-reviewed

Research Projects

Modern Mathematical Analysis for the Fluid Dynamics

Grants-in-Aid for Scientific Research, Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)), Japan Society for the Promotion of Science, Feb, 2019 - Mar, 2023
New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2016 - Mar, 2021
Research of Navier-Stokes equations in undounded domains by real analysis and the energy method

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2017

Yamazaki Masao, SHIBATA Yoshihiro, KOZONO Hideo, TANAKA Kazunaga, TAKAHASHI Go, FARWIG Reinhard, GALDI Giovanni Paolo
変分的手法による非線形楕円型方程式の大域的解析

科学研究費助成事業(基盤研究(B)), 基盤研究(B), 科学研究費助成事業(早稲田大学), 2013 - 2016
現代解析学と計算科学の手法による乱流の数学的理論の構築

科学研究費助成事業(基盤研究(S)), 基盤研究(S), 科学研究費助成事業(東北大学), 2012 - 2016
New development of the theory on turbulence via method of nonlinear partial differential equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

KOZONO Hideo, KANEDA Yukio
Geometric properties and asymptotic behavior of solutions of diffusion equations

Apr, 2011 - Mar, 2015
Theory of global well-posedness on the nonlinear partial differential equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, Jun, 2008 - Mar, 2013

KOZONO Hideo, YANAGIDA Eiji, ISHIGE Kazuhiro, NAKAMURA Makoto, KUBO Hideo, KANEDA Yukio, ISHIHARA Takashi, YOSHIMATSU Katsunori, KAGEI Yoshiyuki, EI Shinichro
Harmonic analysis by real variable methods and its applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2006 - 2009

MIYACHI Akihiko, KANJIN Yuichi, KOZONO Hideo, SATO Shuichi, SATO Enji, FURUYA Yasuo, TACHIZAWA Kazuya, SHINOHARA Masahiko, OAKU Toshinori, OKADA Masami, SUGIMOTO Mitsuru, TOMITA Naohito, KOBAYASHI Masaharu, SAWANO Yoshihiro, NAKAI Eiichi, KANJIN Yuichi, SATO Enji
Asymptotic Analysis for Singularities of Solutions to Nonlinear Partial Differential Equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 1999 - 2002

OGAWA Takayoshi, KOZONO Hideo, KAGEI Yoshiyuki, KAWASHIMA Shuichi, KOBAYASHI Takayuki, KATO Keiichi
Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2000 - 2001

NAGASAWA Takeyuki, TSUTSUMI Yoshio, TAKAGI Izumi, SHIMAKURA Norio, FUJIIE Seturo, KOZONO Hideo
非圧縮性粘性流体の基礎方程式の研究

科学研究費助成事業(萌芽的研究), 萌芽的研究, 科学研究費助成事業(東北大学), 1999 - 2001
Comprehensive Research Toward the Global Theory for the System of Nonlinear Partial Differential Equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A)., Japan Society for the Promotion of Science, 1998 - 2000

NISHIDA Takaaki, KOZONO Hideo, OKAMOTO Hisashi, KOKUBU Hiroshi, MASUDA Kyuya, NAKAO Mitsuhiro
Research on well-posedness for the Navier-Stokes equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B)., Japan Society for the Promotion of Science, 1997 - 2000

KOZONO Hideo, NAGASAWA Takeyuki, TSUTSUMI Yoshio, TAKAGI Izumi, TACHIZAWA Kazuya, CHIHARA Hiroyuki
Spectral and Scattering Theory for Schrodinger Operators

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B)., Japan Society for the Promotion of Science, 1997 - 2000

NAKAMURA Shu, KATO Keiichi, OGAWA Takayoshi, YAJIMA Kenji
Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1997 - 1999

TSUTSUMI Yoshio, TAKEDA Masayoshi, KOZONO Hideo, SHIMAKURA Norio, MIZUMACHI Tetsu, NAGASAWA Takeyuki
Variational Problems in Differential Geometry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 1997 - 1999

NAITO Hisashi, TANIGAWA Harumi, EJIRI Norio, NAWA Hayato, KOZONO Hideo, OHTA Hiroshi
調和解析学と非線形偏微分方程式の融合を目指して

科学研究費助成事業(基盤研究(C)), 基盤研究(C), 科学研究費助成事業(名古屋大学), 1998 - 1998
Research for the Lp theory of the solutions to nonlinear partial differential equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1997 - 1998

OGAWA Takayoshi, KATO Keiichi, KAWASHITA Mishio, KOZONO Hideo, KAGEI Yoshiyuki, KAWASHIMA Shuuichi
Development and verification of analytical and statistical theory of turbulence

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 1997 - 1998

KANEDA Yukio, ISHIHARA Takashi, GOTOH Toshiyuki, KOZONO Hideo, ISHII Katsuya