Remark on the regularity for weak solutions to the magnetohydrodynamic equations

Cheng He; Yun Wang

doi:10.1002/mma.992

Remark on the regularity for weak solutions to the magnetohydrodynamic equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.992 ◽

2008 ◽

Vol 31 (14) ◽

pp. 1667-1684 ◽

Cited By ~ 28

Author(s):

Cheng He ◽

Yun Wang

Keyword(s):

Weak Solutions ◽

Magnetohydrodynamic Equations

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Energy conservation for the weak solutions to the ideal inhomogeneous magnetohydrodynamic equations in a bounded domain

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103397 ◽

2022 ◽

Vol 63 ◽

pp. 103397

Author(s):

Zhipeng Zhang

Keyword(s):

Energy Conservation ◽

Bounded Domain ◽

Weak Solutions ◽

Magnetohydrodynamic Equations ◽

The Ideal

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Existence of weak solutions to the three-dimensional steady compressible magnetohydrodynamic equations

Acta Mathematica Sinica English Series ◽

10.1007/s10114-012-0696-9 ◽

2012 ◽

Vol 28 (12) ◽

pp. 2431-2442 ◽

Cited By ~ 3

Author(s):

Chun Hui Zhou

Keyword(s):

Weak Solutions ◽

Three Dimensional ◽

Magnetohydrodynamic Equations ◽

Existence Of Weak Solutions

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Renormalized weak solutions to the three-dimensional steady compressible magnetohydrodynamic equations

Boundary Value Problems ◽

10.1186/s13661-015-0448-8 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Xiaoying Wang ◽

Ling Zhou

Keyword(s):

Weak Solutions ◽

Three Dimensional ◽

Magnetohydrodynamic Equations

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Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations

Journal of Differential Equations ◽

10.1016/j.jde.2008.07.019 ◽

2008 ◽

Vol 245 (8) ◽

pp. 2176-2198 ◽

Cited By ~ 29

Author(s):

Xianpeng Hu ◽

Dehua Wang

Keyword(s):

Weak Solutions ◽

Three Dimensional ◽

Magnetohydrodynamic Equations

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Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021078 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Guodong Wang ◽

Bijun Zuo

Keyword(s):

Bounded Domain ◽

Weak Solutions ◽

Magnetohydrodynamic Equations ◽

Energy Equality

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Global weak solutions for the two-dimensional magnetohydrodynamic equations with partial dissipation and diffusion

Nonlinear Analysis ◽

10.1016/j.na.2016.07.002 ◽

2016 ◽

Vol 144 ◽

pp. 157-164 ◽

Cited By ~ 2

Author(s):

Dipendra Regmi

Keyword(s):

Weak Solutions ◽

Two Dimensional ◽

Magnetohydrodynamic Equations ◽

Global Weak Solutions ◽

Partial Dissipation ◽

And Diffusion

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Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-013-0223-5 ◽

2013 ◽

Vol 29 (2) ◽

pp. 289-302 ◽

Cited By ~ 1

Author(s):

Bao-quan Yuan ◽

Feng-ping Li

Keyword(s):

Weak Solutions ◽

Regularity Criteria ◽

Magnetohydrodynamic Equations

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Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force

Nonlinear Analysis ◽

10.1016/j.na.2009.05.012 ◽

2009 ◽

Vol 71 (11) ◽

pp. 5866-5884 ◽

Cited By ~ 29

Author(s):

Zhong Tan ◽

Yanjin Wang

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Large Time ◽

Coulomb Force ◽

Large Time Behavior ◽

Time Behavior ◽

Magnetohydrodynamic Equations

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On the energy inequality for weak solutions to the three-dimensional compressible magnetohydrodynamic equations

Journal of Mathematical Physics ◽

10.1063/1.5021686 ◽

2018 ◽

Vol 59 (1) ◽

pp. 011507

Author(s):

Xin Liu

Keyword(s):

Weak Solutions ◽

Energy Inequality ◽

Three Dimensional ◽

Magnetohydrodynamic Equations

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Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103359 ◽

2021 ◽

Vol 62 ◽

pp. 103359

Author(s):

Xiong Wang ◽

Sili Liu

Keyword(s):

Energy Conservation ◽

Bounded Domain ◽

Weak Solutions ◽

Magnetohydrodynamic Equations

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