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Local Energy Weak Solutions for the Navier–Stokes Equations in the Half-Space

Communications in mathematical physics, 2019-04, Vol.367 (2), p.517-580

2019

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Dissipative quasi-geostrophic equation for large initial data in the critical sobolev space

Communications in mathematical physics, 2006-10, Vol.267 (1), p.141-157

MIURA, Hideyuki

2006

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On Uniqueness for the Harmonic Map Heat Flow in Supercritical Dimensions

Communications on pure and applied mathematics, 2017-12, Vol.70 (12), p.2247-2299

2017

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On Isomorphism for the Space of Solenoidal Vector Fields and Its Application to the Incompressible Flows

SIAM journal on mathematical analysis, 2018-01, Vol.50 (1), p.339-353

2018

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On Poisson operators and Dirichlet-Neumann maps in H^s for divergence form elliptic operators with Lipschitz coefficients

Transactions of the American Mathematical Society, 2016-09, Vol.368 (9), p.6227-6252

2016

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Local regularity conditions on initial data for local energy solutions of the Navier–Stokes equations

SN partial differential equations and applications, 2022-02, Vol.3 (1), Article 5

2022

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On domain of Poisson operators and factorization for divergence form elliptic operators

Manuscripta mathematica, 2017-03, Vol.152 (3-4), p.459-512

2017

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Blow-up of the critical norm for a supercritical semilinear heat equation

Journal of the European Mathematical Society : JEMS, 2024-10

2024

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Remark on Single Exponential Bound of the Vorticity Gradient for the Two-Dimensional Euler Flow Around a Corner

Journal of mathematical fluid mechanics, 2016-09, Vol.18 (3), p.531-537

2016

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Point Singularities of 3D Stationary Navier–Stokes Flows

Journal of mathematical fluid mechanics, 2012-03, Vol.14 (1), p.33-41

2012

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On fundamental solutions for non-local parabolic equations with divergence free drift

Advances in mathematics (New York. 1965), 2013-11, Vol.247, p.123-191

2013

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On Vorticity Directions near Singularities for the Navier-Stokes Flows with Infinite Energy

Communications in mathematical physics, 2011-04, Vol.303 (2), p.289-300

2011

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Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift

Journal of functional analysis, 2013-05, Vol.264 (10), p.2245-2268

2013

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On Poisson operators and Dirichlet-Neumann maps in Hs for divergence form elliptic operators with Lipschitz coefficients

Transactions of the American Mathematical Society, 2016-09, Vol.368 (9), p.6227-6252

2016

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Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications

International mathematics research notices, 2021-05, Vol.2021 (11), p.8763-8805

2021

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Mechanism of Preferential Enrichment, an Unusual Enantiomeric Resolution Phenomenon Caused by Polymorphic Transition during Crystallization of Mixed Crystals Composed of Two Enantiomers

Journal of the American Chemical Society, 2002-11, Vol.124 (44), p.13139-13153

2002

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Estimates for the Navier–Stokes equations in the half-space for nonlocalized data

Analysis & PDE, 2020-01, Vol.13 (4), p.945-1010

2020

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Regular sets and an -regularity theorem in terms of initial data for the Navier–Stokes equations

Pure and applied analysis, 2021-10, Vol.3 (3), p.567-594

2021

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Estimates for the Navier-Stokes equations in the half-space for non localized data

Analysis & PDE, 2020-06

2020

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Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space

Advances in mathematics (New York. 1965), 2018-01, Vol.323, p.326-366

2018

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On Stability of Blow-Up Solutions of the Burgers Vortex Type for the Navier–Stokes Equations with a Linear Strain

Journal of mathematical fluid mechanics, 2019, Vol.21 (4), p.1-23, Article 46

2019

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Great Power Competition and Middle Power Strategies: Economic Statecraft in the Asia-Pacific Region

1, 2023

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Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data

Communications in partial differential equations, 2012-10, Vol.37 (10), p.1717-1753

2012

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Preparation of long-lifetime gas recognition films by plasma polymerization technique

Sensors and actuators. B, Chemical, 2005-07, Vol.108 (1), p.558-563

2005

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US-China Tech Rivalry and Japan’s Policies for Economic Security

Global Asia (East Asia foundation), 2022, Vol.17 (4), p.18-22

Hideyuki Miura

2022

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Local Energy Weak Solutions for the Navier–Stokes Equations in the Half-Space

Dissipative quasi-geostrophic equation for large initial data in the critical sobolev space

On Uniqueness for the Harmonic Map Heat Flow in Supercritical Dimensions

On Isomorphism for the Space of Solenoidal Vector Fields and Its Application to the Incompressible Flows

On Poisson operators and Dirichlet-Neumann maps in H^s for divergence form elliptic operators with Lipschitz coefficients

Local regularity conditions on initial data for local energy solutions of the Navier–Stokes equations

On domain of Poisson operators and factorization for divergence form elliptic operators

Blow-up of the critical norm for a supercritical semilinear heat equation

Remark on Single Exponential Bound of the Vorticity Gradient for the Two-Dimensional Euler Flow Around a Corner

Point Singularities of 3D Stationary Navier–Stokes Flows

On fundamental solutions for non-local parabolic equations with divergence free drift

On Vorticity Directions near Singularities for the Navier-Stokes Flows with Infinite Energy

Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift

On Poisson operators and Dirichlet-Neumann maps in Hs for divergence form elliptic operators with Lipschitz coefficients

Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications

Mechanism of Preferential Enrichment, an Unusual Enantiomeric Resolution Phenomenon Caused by Polymorphic Transition during Crystallization of Mixed Crystals Composed of Two Enantiomers

Estimates for the Navier–Stokes equations in the half-space for nonlocalized data

Regular sets and an -regularity theorem in terms of initial data for the Navier–Stokes equations

Estimates for the Navier-Stokes equations in the half-space for non localized data

Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space

On Stability of Blow-Up Solutions of the Burgers Vortex Type for the Navier–Stokes Equations with a Linear Strain

Great Power Competition and Middle Power Strategies: Economic Statecraft in the Asia-Pacific Region

Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data

Preparation of long-lifetime gas recognition films by plasma polymerization technique

US-China Tech Rivalry and Japan’s Policies for Economic Security

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