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Liouville-Type Theorems for the Forced Euler Equations and the Navier–Stokes Equations

Communications in mathematical physics, 2014-01, Vol.326 (1), p.37-48

Chae, Dongho

2014

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Anisotropic Liouville type theorem for the MHD system in Rn

Journal of mathematical physics, 2023-12, Vol.64 (12)

Chae, Dongho

2023

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Regularity criterion in terms of the oscillation of pressure for the 3D Navier–Stokes equations

Zeitschrift für angewandte Mathematik und Physik, 2023-06, Vol.74 (3), Article 87

Chae, Dongho

2023

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Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System

Journal of mathematical fluid mechanics, 2021-02, Vol.23 (1), Article 21

Chae, Dongho

2021

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On the temporal decay for the Hall-magnetohydrodynamic equations

Journal of Differential Equations, 2013-12, Vol.255 (11), p.3971-3982

2013

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Remarks on Type I Blow-Up for the 3D Euler Equations and the 2D Boussinesq Equations

Journal of nonlinear science, 2021-10, Vol.31 (5), Article 77

2021

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Energy Concentrations and Type I Blow-Up for the 3D Euler Equations

Communications in mathematical physics, 2020-06, Vol.376 (2), p.1627-1669

2020

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On the Liouville theorem for the stationary Navier–Stokes equations in a critical space

Journal of mathematical analysis and applications, 2013-09, Vol.405 (2), p.706-710

2013

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Localized non blow-up criterion of the Beale-Kato-Majda type for the 3D Euler equations

Mathematische annalen, 2022-08, Vol.383 (3-4), p.837-865

2022

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On the Discretely Self-similar Solutions to the Euler Equations in R3

Journal of nonlinear science, 2023, Vol.33 (6)

2023

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Nonexistence of self-similar singularities for the 3D incompressible euler equations

Communications in mathematical physics, 2007-07, Vol.273 (1), p.203-215

CHAE, Dongho

2007

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On the Self-Similar Solutions of the 3D Euler and the Related Equations

Communications in mathematical physics, 2011-07, Vol.305 (2), p.333-349

Chae, Dongho

2011

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On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in R3

Zeitschrift für angewandte Mathematik und Physik, 2022, Vol.73 (2)

2022

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Localized Blow-Up Criterion for C1,α Solutions to the 3D Incompressible Euler Equations

Journal of mathematical fluid mechanics, 2023, Vol.25 (3)

2023

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Inviscid Models Generalizing the Two-dimensional Euler and the Surface Quasi-geostrophic Equations

Archive for rational mechanics and analysis, 2011-10, Vol.202 (1), p.35-62

2011

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On Liouville Type Theorem for Stationary Non-Newtonian Fluid Equations

Journal of nonlinear science, 2020-08, Vol.30 (4), p.1503-1517

2020

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Removing rotated discretely self-similar singularity for the Euler equations

Journal of Differential Equations, 2023-12, Vol.377, p.113-120

Chae, Dongho

2023

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Anisotropic Liouville type theorem for the stationary Navier–Stokes equations in R3

Applied mathematics letters, 2023-08, Vol.142, Article 108655

Chae, Dongho

2023

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On Liouville type theorems for the self-similar solutions to the generalized Euler equations

Advances in mathematics (New York. 1965), 2023-11, Vol.433, p.109316, Article 109316

Chae, Dongho

2023

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Anisotropic Liouville type theorem for the stationary Navier–Stokes equations in R 3

Applied mathematics letters, 2023-08, Vol.142, p.108655, Article 108655

Chae, Dongho

2023

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Global regularity for the 2D Boussinesq equations with partial viscosity terms

Advances in mathematics (New York. 1965), 2006-07, Vol.203 (2), p.497-513

Chae, Dongho

2006

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Existence of discretely self-similar solutions to the Navier–Stokes equations for initial value in \( L_{l o c}^{2}\left(\right.R^{3}\left.\right) \)

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2018-07, Vol.35 (4), p.1019-1039

2018

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On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics

Journal of Differential Equations, 2014-06, Vol.256 (11), p.3835-3858

2014

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On the well-posedness of various one-dimensional model equations for fluid motion

Nonlinear analysis, 2017-09, Vol.160, p.25-43

2017

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Note on the Liouville type problem for the stationary Navier-Stokes equations in R 3

Journal of Differential Equations, 2020-01, Vol.268 (3), p.1043-1049

Chae, Dongho

2020

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Liouville-Type Theorems for the Forced Euler Equations and the Navier–Stokes Equations

Anisotropic Liouville type theorem for the MHD system in Rn

Regularity criterion in terms of the oscillation of pressure for the 3D Navier–Stokes equations

Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System

On the temporal decay for the Hall-magnetohydrodynamic equations

Remarks on Type I Blow-Up for the 3D Euler Equations and the 2D Boussinesq Equations

Energy Concentrations and Type I Blow-Up for the 3D Euler Equations

On the Liouville theorem for the stationary Navier–Stokes equations in a critical space

Localized non blow-up criterion of the Beale-Kato-Majda type for the 3D Euler equations

On the Discretely Self-similar Solutions to the Euler Equations in R3

Nonexistence of self-similar singularities for the 3D incompressible euler equations

On the Self-Similar Solutions of the 3D Euler and the Related Equations

On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in R3

Localized Blow-Up Criterion for C1,α Solutions to the 3D Incompressible Euler Equations

Inviscid Models Generalizing the Two-dimensional Euler and the Surface Quasi-geostrophic Equations

On Liouville Type Theorem for Stationary Non-Newtonian Fluid Equations

Removing rotated discretely self-similar singularity for the Euler equations

Anisotropic Liouville type theorem for the stationary Navier–Stokes equations in R3

On Liouville type theorems for the self-similar solutions to the generalized Euler equations

Anisotropic Liouville type theorem for the stationary Navier–Stokes equations in R 3

Global regularity for the 2D Boussinesq equations with partial viscosity terms

Existence of discretely self-similar solutions to the Navier–Stokes equations for initial value in \( L_{l o c}^{2}\left(\right.R^{3}\left.\right) \)

On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics

On the well-posedness of various one-dimensional model equations for fluid motion

Note on the Liouville type problem for the stationary Navier-Stokes equations in R 3

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