On the vanishing dissipation limit for the incompressible MHD equations on bounded domains

Science China Mathematics ◽

10.1007/s11425-021-1870-9 ◽

2021 ◽

Author(s):

Qin Duan ◽

Yuelong Xiao ◽

Zhouping Xin

Keyword(s):

Mhd Equations ◽

Bounded Domains ◽

Incompressible Mhd

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Some regularity criteria for the incompressible 3D MHD equations in bounded domains

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0743-y ◽

2016 ◽

Vol 67 (6) ◽

Author(s):

Jae-Myoung Kim

Keyword(s):

Mhd Equations ◽

Regularity Criteria ◽

Bounded Domains

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On the steady Prandtl type equations with magnetic effects arising from 2D incompressible MHD equations in a half plane

Journal of Mathematical Physics ◽

10.1063/1.5080473 ◽

2018 ◽

Vol 59 (12) ◽

pp. 121508

Author(s):

Jing Wang ◽

Shixiang Ma

Keyword(s):

Mhd Equations ◽

Magnetic Effects ◽

Incompressible Mhd

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A new regularity criterion for the 3D incompressible MHD equations via partial derivatives

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123497 ◽

2020 ◽

Vol 481 (2) ◽

pp. 123497 ◽

Author(s):

Sadek Gala ◽

Maria Alessandra Ragusa

Keyword(s):

Regularity Criterion ◽

Mhd Equations ◽

Partial Derivatives ◽

Incompressible Mhd

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Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation

Journal of Functional Analysis ◽

10.1016/j.jfa.2020.108519 ◽

2020 ◽

Vol 279 (2) ◽

pp. 108519 ◽

Author(s):

Hongxia Lin ◽

Ruihong Ji ◽

Jiahong Wu ◽

Li Yan

Keyword(s):

Magnetic Field ◽

Mhd Equations ◽

Partial Dissipation ◽

Background Magnetic Field ◽

Incompressible Mhd

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Global stability of large solutions to the 3D nonhomogeneous incompressible MHD equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112813 ◽

2020 ◽

Vol 375 ◽

pp. 112813

Author(s):

Hua Qiu

Keyword(s):

Global Stability ◽

Mhd Equations ◽

Large Solutions ◽

Incompressible Mhd

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The regularity criteria on the magnetic field to the $3D$ incompressible MHD equations

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n8.a8 ◽

2019 ◽

Vol 17 (8) ◽

pp. 2257-2280

Author(s):

Xiang-Xiang Guo ◽

Yi Du ◽

Peng Lu

Keyword(s):

Magnetic Field ◽

Mhd Equations ◽

Regularity Criteria ◽

Incompressible Mhd ◽

The Magnetic Field

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Conditional regularity for the 3D incompressible MHD equations via partial components

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n4.a8 ◽

2019 ◽

Vol 17 (4) ◽

pp. 1025-1043 ◽

Author(s):

Huifang Wang ◽

Yafei Li ◽

Zheng Guang Guo ◽

Zdenĕk Skalák

Keyword(s):

Mhd Equations ◽

Incompressible Mhd

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Regularity and energy dissipation for the nonhomogeneous incompressible MHD equations

Scientia Sinica Mathematica ◽

10.1360/ssm-2019-0203 ◽

2019 ◽

Vol 49 (12) ◽

pp. 1967

Author(s):

Wu Zhonger ◽

Tan Zhong

Keyword(s):

Energy Dissipation ◽

Mhd Equations ◽

Incompressible Mhd

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Global regularity to the 3D MHD equations with large initial data in bounded domains

Journal of Mathematical Physics ◽

10.1063/1.4961161 ◽

2016 ◽

Vol 57 (8) ◽

pp. 083102

Author(s):

Haibo Yu

Keyword(s):

Initial Data ◽

Global Regularity ◽

Mhd Equations ◽

Bounded Domains ◽

Large Initial Data

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Almost sure existence of global weak solutions for incompressible MHD equations in negative-order Sobolev space

Journal of Differential Equations ◽

10.1016/j.jde.2017.03.026 ◽

2017 ◽

Vol 263 (2) ◽

pp. 1611-1642 ◽

Author(s):

Lihuai Du ◽

Ting Zhang

Keyword(s):

Sobolev Space ◽

Weak Solutions ◽

Mhd Equations ◽

Global Weak Solutions ◽

Negative Order ◽

Incompressible Mhd

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