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.

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Veröffentlicht in:	Chinese annals of mathematics. Serie B 2024-03, Vol.45 (2), p.253-264
Hauptverfasser:	Han, Bin, Xiong, Xi
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Magnetohydrodynamics Mathematics Mathematics and Statistics Regularity
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description	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.
doi_str_mv	10.1007/s11401-024-0015-7
format	Article
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subjects	Applications of Mathematics Magnetohydrodynamics Mathematics Mathematics and Statistics Regularity
title	A Generalized Blow up Criteria with One Component of Velocity for 3D Incompressible MHD System
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