A Generalized Blow up Criteria with One Component of Velocity for 3D Incompressible MHD System

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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Beschreibung
Zusammenfassung: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-024-0015-7