A logarithmically improved regularity criterion for the $3$D MHD system involving the velocity field in homogeneous Besov spaces

Annales Polonici Mathematici ◽

10.4064/ap3952-9-2016 ◽

2016 ◽

Author(s):

Zujin Zhang

Keyword(s):

Velocity Field ◽

Besov Spaces ◽

Regularity Criterion ◽

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Regularity criterion of weak solution for the 3D Magneto-micropolar fluid equations in Besov spaces

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.09.038 ◽

2012 ◽

Vol 17 (6) ◽

pp. 2426-2433 ◽

Author(s):

Fuyi Xu

Keyword(s):

Weak Solution ◽

Besov Spaces ◽

Micropolar Fluid ◽

Regularity Criterion ◽

Fluid Equations ◽

Micropolar Fluid Equations

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3D Hall-MHD system with vorticity in Besov spaces

Annales Polonici Mathematici ◽

10.4064/ap170717-8-4 ◽

2018 ◽

Vol 121 (1) ◽

pp. 91-98

Author(s):

Zujin Zhang

Keyword(s):

Besov Spaces ◽

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An optimal regularity criterion for the 3D MHD equations in homogeneous Besov spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6923 ◽

2020 ◽

Vol 44 (2) ◽

pp. 2130-2139

Author(s):

Zhengguang Guo ◽

Shunhang Zhang

Keyword(s):

Besov Spaces ◽

Regularity Criterion ◽

Mhd Equations ◽

Optimal Regularity

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A regularity criterion for a generalized Hall-MHD system

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.024 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2438-2443 ◽

Author(s):

Jishan Fan ◽

Bessem Samet ◽

Yong Zhou

Keyword(s):

Regularity Criterion ◽

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Regularity criterion for 3D Navier-Stokes equations in Besov spaces

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2014.13.585 ◽

2013 ◽

Vol 13 (2) ◽

pp. 585-603 ◽

Author(s):

Daoyuan Fang ◽

Chenyin Qian

Keyword(s):

Besov Spaces ◽

Stokes Equations ◽

Regularity Criterion ◽

Navier Stokes ◽

Navier Stokes Equations

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Generalized MHD System with Velocity Gradient in Besov Spaces of Negative Order

Acta Applicandae Mathematicae ◽

10.1007/s10440-016-0091-0 ◽

2016 ◽

Vol 149 (1) ◽

pp. 139-144 ◽

Author(s):

Zujin Zhang

Keyword(s):

Velocity Gradient ◽

Besov Spaces ◽

Negative Order ◽

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On the regularity criterion for the 3D generalized MHD equations in Besov spaces

Boundary Value Problems ◽

10.1186/s13661-014-0178-3 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Shuanghu Zhang ◽

Hua Qiu

Keyword(s):

Besov Spaces ◽

Regularity Criterion ◽

Mhd Equations ◽

Generalized Mhd Equations

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Global well-posedness for the 3-D incompressible inhomogeneous MHD system in the critical Besov spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.06.048 ◽

2015 ◽

Vol 432 (1) ◽

pp. 179-195 ◽

Author(s):

Xiaoping Zhai ◽

Yongsheng Li ◽

Wei Yan

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Critical Besov Spaces

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Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2018-48-8-2785 ◽

2018 ◽

Vol 48 (8) ◽

pp. 2785-2795 ◽

Author(s):

Zujin Zhang

Keyword(s):

Besov Spaces ◽

Regularity Criteria ◽

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A regularity criterion for the generalized Hall-MHD system

Boundary Value Problems ◽

10.1186/s13661-016-0695-3 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Weijiang Gu ◽

Caochuan Ma ◽

Jianzhu Sun

Keyword(s):

Regularity Criterion ◽

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