Unconditionally energy stable, splitting schemes for magnetohydrodynamic equations

2020 ◽  
Author(s):  
Kun Wang ◽  
Guo‐Dong Zhang
Keyword(s):  
Magnetohydrodynamic Equations ◽  
Splitting Schemes ◽  
Stable Splitting ◽  
Energy Stable

Exact nonlinear wave solutions of the incompressible magnetohydrodynamic equations in a sheared magnetic field

1990 ◽  
Vol 44 (1) ◽  
pp. 25-32 ◽  
Author(s):  
Hiromitsu Hamabata
Keyword(s):  
Magnetic Field ◽  
Incompressible Fluid ◽  
Large Amplitude ◽  
Uniform Magnetic Field ◽  
Magnetohydrodynamic Equations ◽  
Wave Solutions ◽  
Field Lines ◽  
Incompressible Magnetohydrodynamic Equations ◽  
Physical Quantities ◽  
Nonlinear Wave Solutions

Exact wave solutions of the nonlinear jnagnetohydrodynamic equations for a highly conducting incompressible fluid are obtained for the cases where the physical quantities are independent of one Cartesian co-ordina.te and for where they vary three-dimensionally but both the streamlines and magnetic field lines lie in parallel planes. It is shown that there is a class of exact wave solutions with large amplitude propagating in a straight but non-uniform magnetic field with constant or non-uniform velocity.

scholarly journals A class large solution of the 3D Hall-magnetohydrodynamic equations

2020 ◽  
Vol 268 (10) ◽  
pp. 5811-5822 ◽  
Author(s):  
Jinlu Li ◽  
Yanghai Yu ◽  
Weipeng Zhu
Keyword(s):  
Magnetohydrodynamic Equations ◽  
Large Solution
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