The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion

SIAM Journal on Mathematical Analysis ◽

10.1137/130937718 ◽

2014 ◽

Vol 46 (1) ◽

pp. 588-602 ◽

Author(s):

Chongsheng Cao ◽

Jiahong Wu ◽

Baoquan Yuan

Keyword(s):

Magnetohydrodynamics Equations ◽

Magnetic Diffusion ◽

Incompressible Magnetohydrodynamics

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Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-01958-y ◽

2021 ◽

Vol 60 (2) ◽

Author(s):

Jincheng Gao ◽

Daiwen Huang ◽

Zheng-an Yao

Keyword(s):

Boundary Layer ◽

Two Dimensional ◽

Magnetohydrodynamics Equations ◽

Boundary Layer Problems ◽

Incompressible Magnetohydrodynamics

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A parallel finite element method for incompressible magnetohydrodynamics equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106076 ◽

2020 ◽

Vol 102 ◽

pp. 106076

Author(s):

Xiaojing Dong ◽

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Magnetohydrodynamics Equations ◽

Parallel Finite Element ◽

Incompressible Magnetohydrodynamics ◽

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Global solution of 3D incompressible magnetohydrodynamics equations with finite energy

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.09.003 ◽

2015 ◽

Vol 422 (1) ◽

pp. 571-578 ◽

Author(s):

Yuli Ge ◽

Shuguang Shao

Keyword(s):

Global Solution ◽

Finite Energy ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics

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Exact solutions to the three-dimensional incompressible magnetohydrodynamics equations without viscosity

Nonlinear Dynamics ◽

10.1007/s11071-021-06881-7 ◽

2021 ◽

Author(s):

Junchao Chen ◽

Manwai Yuen

Keyword(s):

Exact Solutions ◽

Three Dimensional ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics

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Exact solutions for the two-dimensional incompressible magnetohydrodynamics equations

Applied Mathematical Sciences ◽

10.12988/ams.2014.48641 ◽

2014 ◽

Vol 8 ◽

pp. 5915-5922 ◽

Author(s):

Ka-Luen Cheung

Keyword(s):

Exact Solutions ◽

Two Dimensional ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics

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Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0276-8 ◽

2016 ◽

Vol 70 (3) ◽

pp. 1144-1179 ◽

Author(s):

Haiyan Su ◽

Xinlong Feng ◽

Jianping Zhao

Keyword(s):

Iterative Method ◽

Magnetohydrodynamics Equations ◽

Newton Iterative Method ◽

Stationary Incompressible Magnetohydrodynamics ◽

Incompressible Magnetohydrodynamics

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A semi-discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4296 ◽

2017 ◽

Vol 40 (11) ◽

pp. 4179-4196 ◽

Author(s):

Zhiyong Si ◽

Cui Liu ◽

Yunxia Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Defect Correction ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics ◽

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A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.04.017 ◽

2020 ◽

Vol 80 (5) ◽

pp. 809-821

Author(s):

Jixiang Guan ◽

Shujie Jing ◽

Zhiyong Si

Keyword(s):

Projection Method ◽

Rotational Velocity ◽

Magnetohydrodynamics Equations ◽

Velocity Correction ◽

Incompressible Magnetohydrodynamics

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A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations

AIMS Mathematics ◽

10.3934/math.2020254 ◽

2020 ◽

Vol 5 (4) ◽

pp. 3922-3951

Author(s):

Shujie Jing ◽

◽

Jixiang Guan ◽

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics ◽

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Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2538 ◽

2012 ◽

Vol 35 (12) ◽

pp. 1472-1488 ◽

Author(s):

Pigong Han ◽

Cheng He

Keyword(s):

Magnetohydrodynamics Equations ◽

Decay Properties ◽

Incompressible Magnetohydrodynamics

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