A Generalized Blow up Criteria with One Component of Velocity for 3D Incompressible MHD System
Bin Han , Xi Xiong
Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (2) : 253 -264.
A Generalized Blow up Criteria with One Component of Velocity for 3D Incompressible MHD System
In this paper, the authors study the global regularity of the 3D magnetohydrodynamics system in terms of one velocity component. In particular, they establish a new Prodi-Serrin type regularity criterion in the framework of weak Lebesgue spaces both in time and space variables.
MHD / Regularity / Blow-up criterion
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