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.

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Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (2) : 253 -264. DOI: 10.1007/s11401-024-0015-7
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A Generalized Blow up Criteria with One Component of Velocity for 3D Incompressible MHD System

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Abstract

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.

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MHD / Regularity / Blow-up criterion

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Bin Han, Xi Xiong. A Generalized Blow up Criteria with One Component of Velocity for 3D Incompressible MHD System. Chinese Annals of Mathematics, Series B, 2024, 45(2): 253-264 DOI:10.1007/s11401-024-0015-7

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