A Generalized Blow up Criteria with One Component ofVelocity for 3D Incompressible MHD System∗

Citation:

Bin HAN,Xi XIONG.A Generalized Blow up Criteria with One Component ofVelocity for 3D Incompressible MHD System∗[J].Chinese Annals of Mathematics B,2024,45(2):253~264
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Authors:

Bin HAN; Xi XIONG

Foundation:

This work was supported by Zhejiang Province Science fund (No. LY21A010009).
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.

Keywords:

MHD, Regularity, Blow-up criterion

Classification:

35Q30, 76D03, 76N10, 76W05
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