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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 5
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Original Articles

On regularity criteria in terms of pressure for the 3D viscous MHD equations

Huiling Duan College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou 404000, Chongqing, P.R. ChinaCorrespondence[email protected]
Pages 947-952 | Received 04 Nov 2010, Accepted 08 Jan 2011, Published online: 21 Mar 2011

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Samia Benbernou, Maria Alessandra Ragusa & Mekki Terbeche. (2017) A logarithmically improved regularity criterion for the MHD equations in terms of one directional derivative of the pressure. Applicable Analysis 96:12, pages 2140-2148.
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Zujin Zhang. (2017) Refined regularity criteria for the MHD system involving only two components of the solution. Applicable Analysis 96:12, pages 2130-2139.
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Articles from other publishers (31)

Dandan Ma, Andrea Scapellato & Fan Wu. (2024) Conditional regularity for the 3D magnetic Bénard system in Vishik spaces. Applied Mathematics Letters 154, pages 108996.
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Jihong Zhao. (2024) Blow-Up Criterion of the 3D Magnetic Bénard Equations via the Gradient of Pressure. Vietnam Journal of Mathematics.
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Sadek Gala. (2024) A new regularity criterion for the 3D MHD equations in Triebel-Lizorkin spaces. Journal of Mathematical Analysis and Applications 531:2, pages 127842.
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Zdenek Skalak. (2023) A new class of regularity criteria for the MHD and Navier–Stokes equations. Nonlinear Analysis: Real World Applications 73, pages 103916.
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Ahmad Alghamdi, Sadek Gala & Maria Alessandra Ragusa. A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field. A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field.
Saeed ur Rahman, Jose Luis Diaz Palencia, Nomaq Tariq, Pablo Salgado Sánchez & Julian Roa Gonzalez. (2022) Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct. Axioms 11:11, pages 625.
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Muhammad Naqeeb, Amjad Hussain & Ahmad M. Alghamdi. (2022) An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces. Symmetry 14:9, pages 1918.
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Jae-Myoung Kim. (2022) On Regularity Criteria via Pressure for the 3D MHD Equations in a Half Space. Advances in Mathematical Physics 2022, pages 1-7.
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Jiří Neustupa & Minsuk Yang. (2021) On the role of pressure in the theory of MHD equations. Nonlinear Analysis: Real World Applications 60, pages 103283.
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Jiří Neustupa & Minsuk Yang. (2021) New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure. Journal of Mathematical Fluid Mechanics 23:3.
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Ines Ben Omrane, Sadek Gala & Maria Alessandra Ragusa. (2021) A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations. Zeitschrift für angewandte Mathematik und Physik 72:3.
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Zhouyu Li & Pengcheng Niu. (2021) New regularity criteria for the 3D magneto‐micropolar fluid equations in Lorentz spaces. Mathematical Methods in the Applied Sciences 44:7, pages 6056-6066.
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Dongxiang Chen, Fangfang Jian & Xiaoli Chen. (2020) Regularity criteria for the 3D magnetic Bénard equations without thermal diffusion in terms of pressure. Mathematical Methods in the Applied Sciences 44:2, pages 1956-1970.
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Qiao Liu. (2020) A note on blow-up criterion of the 3d magnetic Bénard equations. Applied Mathematics Letters 104, pages 106255.
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Sadek Gala & Maria Alessandra Ragusa. (2020) A new regularity criterion for the 3D incompressible MHD equations via partial derivatives. Journal of Mathematical Analysis and Applications 481:2, pages 123497.
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Jae-Myoung Kim. (2019) Remark on local boundary regularity condition of suitable weak solutions to the 3D MHD equations. Electronic Journal of Qualitative Theory of Differential Equations:32, pages 1-11.
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Meiling Chi, Fuyi Xu & Yonghong Wu. (2018) A logarithmic improvement of regularity criterion for the MHD equations in terms of the pressure. Applied Mathematics and Computation 327, pages 46-54.
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Jae-Myoung Kim. (2017) Interior Condition on Suitable Weak Solutions to the 3D MHD Equations Via Pressure. Acta Applicandae Mathematicae 152:1, pages 83-91.
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Sadek Gala, Maria Alessandra Ragusa & Zujin Zhang. (2015) A Regularity Criterion in Terms of Pressure for the 3D Viscous MHD Equations. Bulletin of the Malaysian Mathematical Sciences Society 40:4, pages 1677-1690.
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S. Gala & M. A. Ragusa. (2017) A note on regularity criteria in terms of pressure for the 3D viscous MHD equations. Mathematical Notes 102:3-4, pages 475-479.
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Sadek Gala, Sadek Gala, Maria Alessandra Ragusa & Maria Alessandra Ragusa. (2017) Замечание о критериях регулярности, выраженных через давление, для трехмерных уравнений вязкой магнитной гидродинамикиA Note on Regularity Criteria in Terms of Pressure for the 3D Viscous MHD Equations. Математические заметки Matematicheskie Zametki 102:4, pages 526-531.
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Bo Wang & Min Chen. (2015) An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces. Boundary Value Problems 2015:1.
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Sadek Gala, Zhengguang Guo & Maria Alessandra Ragusa. (2015) A regularity criterion for the three-dimensional MHD equations in terms of one directional derivative of the pressure. Computers & Mathematics with Applications 70:12, pages 3057-3061.
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Zujin Zhang, Pingzhou Hong, Dingxing Zhong & Shulin Qiu. (2014) A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces. Arabian Journal of Mathematics 4:2, pages 153-157.
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Zujin Zhang. (2014) Remarks on the global regularity criteria for the 3D MHD equations via two components. Zeitschrift für angewandte Mathematik und Physik 66:3, pages 977-987.
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Zujin Zhang. (2015) Regularity criteria for the D MHD equations involving one current density and the gradient of one velocity component . Nonlinear Analysis: Theory, Methods & Applications 115, pages 41-49.
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S. Rahman. (2014) Regularity criterion for 3D MHD fluid passing through the porous medium in terms of gradient pressure. Journal of Computational and Applied Mathematics 270, pages 88-99.
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Zujin Zhang, Tong Tang & Fumin Zhang. (2014) A Remark on the Regularity Criterion for the MHD Equations via Two Components in Morrey-Campanato Spaces. Journal of Difference Equations 2014, pages 1-4.
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Yong Zhou & Xuanji Jia. (2014) Regularity criteria for the 3D MHD equations via partial derivatives. II. Kinetic and Related Models 7:2, pages 291-304.
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Zujin Zhang, Xiqin Ouyang, Dingxing Zhong & Shulin Qiu. (2013) Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces. Boundary Value Problems 2013:1.
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Bao-quan Yuan & Feng-ping Li. (2013) Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations. Acta Mathematicae Applicatae Sinica, English Series 29:2, pages 289-302.
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