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Strong solutions of the Navier–Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces

Journal of functional analysis, 2019-02, Vol.276 (3), p.896-931

2019

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2019 Spring Prize Winner Yasunori Maekawa

SUGAKU, 2019/10/25, Vol.71(4), pp.376-377

Kozono, Hideo

2019

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Stability of stationary solutions to the Navier–Stokes equations in the Besov space

Mathematische Nachrichten, 2023-05, Vol.296 (5), p.1964-1982

2023

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2018 Autumn Prize Winner Hirofumi Osada

SUGAKU, 2019/04/24, Vol.71(2), pp.201-202

Kozono, Hideo

2019

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Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations

Journal of functional analysis, 2020-03, Vol.278 (5), p.108390, Article 108390

2020

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2018 Spring Prize Winner Yoshikata Kida

SUGAKU, 2018/10/25, Vol.70(4), pp.406-407

Kozono, Hideo

2018

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2017 Autumn Prize Winner Tomoyuki Arakawa

SUGAKU, 2018/04/24, Vol.70(2), pp.204-205

Kozono, Hideo

2018

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Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier–Stokes equations

Journal of evolution equations, 2021-09, Vol.21 (3), p.3015-3033

2021

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Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains

Mathematische annalen, 2021-08, Vol.380 (3-4), p.1105-1117

2021

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Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains

Calculus of variations and partial differential equations, 2021-10, Vol.60 (5), Article 180

2021

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Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

Journal of Differential Equations, 2017-05, Vol.262 (10), p.5133-5159

2017

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Stationary Solution to the Navier-Stokes Equations in the Scaling Invariant Besov Space and its Regularity

Indiana University mathematics journal, 2019-01, Vol.68 (3), p.857-880

2019

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A Characterization of Harmonic $$L^r$$-Vector Fields in Three Dimensional Exterior Domains

The Journal of geometric analysis, 2022-07, Vol.32 (7), Article 206

2022

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Finite energy of generalized suitable weak solutions to the Navier–Stokes equations and Liouville-type theorems in two dimensional domains

Journal of Differential Equations, 2018-08, Vol.265 (4), p.1227-1247

2018

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The Helmholtz–Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains

The Journal of geometric analysis, 2021-05, Vol.31 (5), p.5146-5165

2021

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A Characterization of Harmonic $$L^r$$-Vector Fields in Two-Dimensional Exterior Domains

The Journal of geometric analysis, 2020-12, Vol.30 (4), p.3742-3759

2020

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A Characterization of Harmonic Lr-Vector Fields in Three Dimensional Exterior Domains

The Journal of geometric analysis, 2022, Vol.32 (7)

2022

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

Indiana University mathematics journal, 2009, Vol.58 (4), p.1853-1920

2009

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The Helmholtz–Weyl decomposition of Lr vector fields for two dimensional exterior domains

The Journal of geometric analysis, 2021, Vol.31 (5), p.5146-5165

2021

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On the stationary Navier–Stokes equations in exterior domains

Journal of mathematical analysis and applications, 2012-11, Vol.395 (2), p.486-495

2012

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Nonlinear Partial Differential Equations for Future Applications: Sendai, Japan, July 10-28 and October 2-6 2017

1st Edition 2021, 2021

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Hadamard variational formula for eigenvalues of the Stokes equations and its application

Mathematische annalen, 2017-06, Vol.368 (1-2), p.877-884

2017

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A Characterization of Harmonic Lr-Vector Fields in Two-Dimensional Exterior Domains

The Journal of geometric analysis, 2020, Vol.30 (4), p.3742-3759

2020

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Hadamard Variational Formula for the Green’s Function of the Boundary Value Problem on the Stokes Equations

Archive for rational mechanics and analysis, 2013-06, Vol.208 (3), p.1005-1055

2013

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Global Compensated Compactness Theorem for General Differential Operators of First Order

Archive for rational mechanics and analysis, 2013-03, Vol.207 (3), p.879-905

2013

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Strong solutions of the Navier–Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces

2019 Spring Prize Winner Yasunori Maekawa

Stability of stationary solutions to the Navier–Stokes equations in the Besov space

2018 Autumn Prize Winner Hirofumi Osada

Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations

2018 Spring Prize Winner Yoshikata Kida

2017 Autumn Prize Winner Tomoyuki Arakawa

Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier–Stokes equations

Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains

Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains

Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

Stationary Solution to the Navier-Stokes Equations in the Scaling Invariant Besov Space and its Regularity

A Characterization of Harmonic $$L^r$$-Vector Fields in Three Dimensional Exterior Domains

Finite energy of generalized suitable weak solutions to the Navier–Stokes equations and Liouville-type theorems in two dimensional domains

The Helmholtz–Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains

A Characterization of Harmonic $$L^r$$-Vector Fields in Two-Dimensional Exterior Domains

A Characterization of Harmonic Lr-Vector Fields in Three Dimensional Exterior Domains

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

The Helmholtz–Weyl decomposition of Lr vector fields for two dimensional exterior domains

On the stationary Navier–Stokes equations in exterior domains

Nonlinear Partial Differential Equations for Future Applications: Sendai, Japan, July 10-28 and October 2-6 2017

Hadamard variational formula for eigenvalues of the Stokes equations and its application

A Characterization of Harmonic Lr-Vector Fields in Two-Dimensional Exterior Domains

Hadamard Variational Formula for the Green’s Function of the Boundary Value Problem on the Stokes Equations

Global Compensated Compactness Theorem for General Differential Operators of First Order

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