Energy Conservation for the Weak Solutions to the Three-Dimensional Incompressible Magnetohydrodynamic Equations of Viscous Non-Resistive Fluids in a Bounded Domain

2021 ◽  
Vol 11 (05) ◽  
pp. 739-751
Author(s):  
雄 汪
Keyword(s):  
Energy Conservation ◽  
Bounded Domain ◽  
Weak Solutions ◽  
Three Dimensional ◽  
Magnetohydrodynamic Equations ◽  
Incompressible Magnetohydrodynamic Equations

scholarly journals A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
TianLi LI ◽  
Wen Wang ◽  
Lei Liu
Keyword(s):  
Weak Solution ◽  
Weak Solutions ◽  
Besov Spaces ◽  
Pressure Field ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Mhd Equations ◽  
Regularity Criteria ◽  
Magnetohydrodynamic Equations ◽  
Incompressible Magnetohydrodynamic Equations

Regularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u , b is regular on 0 , T , which is provided for the scalar pressure field π in the Besov spaces.

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