Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components

Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components

This paper is dedicated to the regularity criteria of weak solutions to the three‐dimensional incompressible magnetohydrodynamics system in terms of only two velocity components. It is proved that the weak solution (u,b) is smooth on (0,T], provided that 1 ∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0...

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-10, Vol.43 (15), p.9014-9023
Hauptverfasser: Zhang, Shunhang, Guo, Zhengguang
Format: Artikel
Sprache:eng
Schlagworte:
Besov space
BMO space
Fluid dynamics
Magnetohydrodynamics
MHD system
Regularity
regularity criteria
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Zusammenfassung:This paper is dedicated to the regularity criteria of weak solutions to the three‐dimensional incompressible magnetohydrodynamics system in terms of only two velocity components. It is proved that the weak solution (u,b) is smooth on (0,T], provided that 1 ∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6596