A note on regularity criteria in terms of pressure for the 3D viscous MHD equations

被引：0
|
作者：
S. Gala
M. A. Ragusa
机构：
[1] Université Abdelhamid Ibn Badis de Mostaganem,
[2] Università degli Studi di Catania,undefined
来源：
Mathematical Notes | 2017年 / 102卷
关键词：
MHD equations; regularity criteria; critical Besov space;
D O I：
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学科分类号：
摘要：
This note is devoted to the study of the smoothness of weak solutions to the Cauchy problem for three-dimensional magneto-hydrodynamic system in terms of the pressure. It is proved that if the pressure π belongs to L2(0, T, Ḃ∞,∞−1(ℝ3)) or the gradient field of pressure ∇π belongs to L2/3(0, T, BMO(ℝ3)), then the corresponding weak solution (u, b) remains smooth on [0, T].
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页码：475 / 479
页数：4
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