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Existence and stability of steady-state solutions to the quasi-geostrophic equations in ℝ2

Nonlinearity, 2015-10, Vol.28 (11), p.4227-4248

Dai, Mimi

2015

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Local well-posedness for the Hall-MHD system in optimal Sobolev spaces

Journal of Differential Equations, 2021-07, Vol.289, p.159-181

Dai, Mimi

2021

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Blow-up of a dyadic model with intermittency dependence for the Hall MHD

Physica. D, 2021-12, Vol.428, p.133066, Article 133066

Dai, Mimi

2021

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Regularity criterion for the 3D Hall-magneto-hydrodynamics

Journal of Differential Equations, 2016-07, Vol.261 (1), p.573-591

Dai, Mimi

2016

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Blowup of Dyadic MHD Models with Forward Energy Cascade

International mathematics research notices, 2023-12, Vol.2023 (24), p.21805-21837

Dai, Mimi

2023

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Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System

SIAM journal on mathematical analysis, 2021-01, Vol.53 (5), p.5979-6016

Dai, Mimi

2021

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Almost sure existence of global weak solutions for supercritical electron MHD

Discrete and continuous dynamical systems. Series B, 2024-03, Vol.29 (3), p.1584-1610

Dai, Mimi

2024

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The importance of mitochondrial metabolic activity and mitochondrial DNA replication during oocyte maturation in vitro on oocyte quality and subsequent embryo developmental competence

Molecular reproduction and development, 2012-06, Vol.79 (6), p.392-401

2012

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Almost Sure Well-Posedness for Hall MHD

Journal of mathematical fluid mechanics, 2024-02, Vol.26 (1), Article 13

Dai, Mimi

2024

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Non-uniqueness of forced active scalar equations with even drift operators

Physica. D, 2024-11, Vol.467, p.134271, Article 134271

2024

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Phenomenologies of intermittent Hall MHD turbulence

Discrete and continuous dynamical systems. Series B, 2022-10, Vol.27 (10), p.5535

Dai, Mimi

2022

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Local well‐posedness of the Hall‐MHD system in Hs(Rn) with s>n2

Mathematische Nachrichten, 2020-01, Vol.293 (1), p.67-78

Dai, Mimi

2020

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Dissipation wavenumber and regularity for electron magnetohydrodynamics

Journal of Differential Equations, 2023-12, Vol.376, p.655-681

2023

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Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion

Journal of Differential Equations, 2019-05, Vol.266 (11), p.7658-7677

2019

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Kinesin Family Member C1 (KIFC1) Accelerates Proliferation and Invasion of Endometrial Cancer Cells Through Modulating the PI3K/AKT Signaling Pathway

Technology in cancer research & treatment, 2020, Vol.19, p.1533033820964217-1533033820964217

2020

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Regularity of solutions to the liquid crystals systems in ℝ and ℝ

Nonlinearity, 2012-02, Vol.25 (2), p.513-532

2012

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On asymptotic isotropy for a hydrodynamic model of liquid crystals

Asymptotic analysis, 2016-04, Vol.97 (3-4), p.189-210

2016

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Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2019-04, Vol.149 (2), p.429-446

2019

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Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models

Journal of nonlinear science, 2023-02, Vol.33 (1), Article 10

2023

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On well-posedness of generalized Hall-magneto-hydrodynamics

Zeitschrift für angewandte Mathematik und Physik, 2022-08, Vol.73 (4), Article 139

2022

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Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces

Journal of mathematical analysis and applications, 2020-01, Vol.481 (2), p.123493, Article 123493

2020

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Determining modes for the surface quasi-geostrophic equation

Physica. D, 2018-08, Vol.376-377, p.204-215

2018

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Norm-inflation results for the BBM equation

Journal of mathematical analysis and applications, 2017-02, Vol.446 (1), p.879-885

2017

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Dyadic models for ideal MHD

Journal of mathematical fluid mechanics, 2022-02, Vol.24 (1), Article 21

2022

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Regularity Criterion and Energy Conservation for the Supercritical Quasi-geostrophic Equation

Journal of mathematical fluid mechanics, 2017-06, Vol.19 (2), p.191-202

Dai, Mimi

2017

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Existence and stability of steady-state solutions to the quasi-geostrophic equations in ℝ2

Local well-posedness for the Hall-MHD system in optimal Sobolev spaces

Blow-up of a dyadic model with intermittency dependence for the Hall MHD

Regularity criterion for the 3D Hall-magneto-hydrodynamics

Blowup of Dyadic MHD Models with Forward Energy Cascade

Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System

Almost sure existence of global weak solutions for supercritical electron MHD

The importance of mitochondrial metabolic activity and mitochondrial DNA replication during oocyte maturation in vitro on oocyte quality and subsequent embryo developmental competence

Almost Sure Well-Posedness for Hall MHD

Non-uniqueness of forced active scalar equations with even drift operators

Phenomenologies of intermittent Hall MHD turbulence

Local well‐posedness of the Hall‐MHD system in Hs(Rn) with s>n2

Dissipation wavenumber and regularity for electron magnetohydrodynamics

Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion

Kinesin Family Member C1 (KIFC1) Accelerates Proliferation and Invasion of Endometrial Cancer Cells Through Modulating the PI3K/AKT Signaling Pathway

Regularity of solutions to the liquid crystals systems in ℝ and ℝ

On asymptotic isotropy for a hydrodynamic model of liquid crystals

Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations

Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models

On well-posedness of generalized Hall-magneto-hydrodynamics

Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces

Determining modes for the surface quasi-geostrophic equation

Norm-inflation results for the BBM equation

Dyadic models for ideal MHD

Regularity Criterion and Energy Conservation for the Supercritical Quasi-geostrophic Equation

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