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Journal Articles

On the energy method for the global solutions to the three dimensional incompressible non-resistive MHD near equilibrium

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Yuan Cai, Bin Han, Na Zhao
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 071501 (2025)
https://doi.org/10.1063/5.0267433
Published: July 2025
View articletitled, On the energy method for the global solutions to the three dimensional incompressible non-resistive MHD near equilibrium
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Journal Articles

Local well-posedness and blow-up of the strong solutions for the viscous quantum magnetohydrodynamic nematic liquid crystal model

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Jun-Chen Liu, Xiu-Qing Wang, Hui Liu
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 051501 (2025)
https://doi.org/10.1063/5.0206715
Published: May 2025
View articletitled, Local well-posedness and blow-up of the strong solutions for the viscous quantum magnetohydrodynamic nematic liquid crystal model
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Journal Articles

Relative magnetic helicity under turbulent relaxation

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S. Lindberg, D. MacTaggart
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 043102 (2025)
https://doi.org/10.1063/5.0240037
Published: April 2025
View articletitled, Relative magnetic helicity under turbulent relaxation
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Journal Articles

Pullback attractors for two dimensional magnetohydrodynamic equations with delays in sub-linear operators

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Xiaoya Song, Chunxiang Zhao
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 021507 (2025)
https://doi.org/10.1063/5.0200327
Published: February 2025
View articletitled, Pullback attractors for two dimensional magnetohydrodynamic equations with delays in sub-linear operators
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Journal Articles

Stability for the two-dimensional anisotropic magnetohydrodynamic equations

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Hua Qiu, Mingtao Chen
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 021506 (2025)
https://doi.org/10.1063/5.0223139
Published: February 2025
View articletitled, Stability for the two-dimensional anisotropic magnetohydrodynamic equations
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Journal Articles

On the existence of globally defined weak solutions to three-dimensional compressible magneto-micropolar fluids with discontinuous initial data and vacuum

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Mingyu Zhang
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 011509 (2025)
https://doi.org/10.1063/5.0240277
Published: January 2025
View articletitled, On the existence of globally defined weak solutions to three-dimensional compressible magneto-micropolar fluids with discontinuous initial data and vacuum
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Journal Articles

Long time behavior for the two-dimensional magnetohydrodynamic flows in a general domain

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Zhaoxia Liu, Pigong Han
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 111501 (2024)
https://doi.org/10.1063/5.0223634
Published: November 2024
View articletitled, Long time behavior for the two-dimensional magnetohydrodynamic flows in a general domain
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Journal Articles

The QG limit of magnetohydrodynamic rotating shallow water system

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Yue Fang, Jiawei Wang, Xiao Wang, Xin Xu
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 061502 (2024)
https://doi.org/10.1063/5.0197052
Published: June 2024
View articletitled, The QG limit of magnetohydrodynamic rotating shallow water system
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Journal Articles

Global well-posedness for 2D non-resistive MHD equations in half-space

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Zhaoyun Zhang, Xiaopeng Zhao
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 051502 (2024)
https://doi.org/10.1063/5.0206233
Published: May 2024
View articletitled, Global well-posedness for 2D non-resistive MHD equations in half-space
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Journal Articles

On the vanishing viscosity limit for the viscous and resistive 3D magnetohydrodynamic system with axisymmetric data

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Youssouf Maafa, Oussama Melkemi
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 041502 (2024)
https://doi.org/10.1063/5.0175019
Published: April 2024
View articletitled, On the vanishing viscosity limit for the viscous and resistive 3D magnetohydrodynamic system with axisymmetric data
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Journal Articles

Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data

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Ling Zhang, Bei-Bei Hu, Zu-Yi Shen
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 013507 (2024)
https://doi.org/10.1063/5.0174719
Published: January 2024
View articletitled, Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data
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Journal Articles

On the global well-posedness for the compressible Hall-MHD system

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Bin Han, Ke Hu, Ning-An Lai
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 011504 (2024)
https://doi.org/10.1063/5.0175649
Published: January 2024
View articletitled, On the global well-posedness for the compressible Hall-MHD system
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Journal Articles

Global strong solutions to full compressible magnetohydrodynamic system with vacuum in 3D exterior domains

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Yunkun Chen, Yi Peng, Xue Wang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 121507 (2023)
https://doi.org/10.1063/5.0176747
Published: December 2023
View articletitled, Global strong solutions to full compressible magnetohydrodynamic system with vacuum in 3D exterior domains
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Journal Articles

Existence and uniqueness of compressible MHD solutions for non-Newtonian fluids

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Qiu Meng, Huifang Xing, Yuanyuan Zhao, Wucai Yang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 121504 (2023)
https://doi.org/10.1063/5.0153399
Published: December 2023
View articletitled, Existence and uniqueness of compressible MHD solutions for non-Newtonian fluids
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Journal Articles

Anisotropic Liouville type theorem for the MHD system in R n

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Dongho Chae
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 121501 (2023)
https://doi.org/10.1063/5.0159958
Published: December 2023
View articletitled, Anisotropic Liouville type theorem for the MHD system in R n
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Journal Articles

Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on T 2

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Yiming Zheng, Yi Zhu
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 111508 (2023)
https://doi.org/10.1063/5.0145887
Published: November 2023
View articletitled, Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on T 2
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Journal Articles

Non–uniform decay of solutions to the incompressible magneto–micropolar fluids with/without magnetic diffusion and spin viscosity

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Wanping Wu, Yinghui Zhang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 111502 (2023)
https://doi.org/10.1063/5.0164843
Published: November 2023
View articletitled, Non–uniform decay of solutions to the incompressible magneto–micropolar fluids with/without magnetic diffusion and spin viscosity
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Journal Articles

A Beale–Kato–Majda criterion for free boundary incompressible ideal magnetohydrodynamics

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Jie Fu, Chengchun Hao, Siqi Yang, Wei Zhang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 091505 (2023)
https://doi.org/10.1063/5.0167954
Published: September 2023
View articletitled, A Beale–Kato–Majda criterion for free boundary incompressible ideal magnetohydrodynamics
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Journal Articles

Nested invariant tori foliating a vector field and its curl: Toward MHD equilibria and steady Euler flows in toroidal domains without continuous Euclidean isometries

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Naoki Sato, Michio Yamada
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 081505 (2023)
https://doi.org/10.1063/5.0151955
Published: August 2023
View articletitled, Nested invariant tori foliating a vector field and its curl: Toward MHD equilibria and steady Euler flows in toroidal domains without continuous Euclidean isometries
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Journal Articles

Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion

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Hongxia Lin, Heng Zhang, Sen Liu, Qing Sun
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 071506 (2023)
https://doi.org/10.1063/5.0155296
Published: July 2023
View articletitled, Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion
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