Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations
2016 ◽
Vol 18
(06)
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pp. 1650018
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Keyword(s):
In this paper, we are concerned with the partial regularity of the suitable weak solutions to the fractional MHD equations in [Formula: see text] for [Formula: see text]. In comparison with the work of the 3D fractional Navier–Stokes equations obtained by Tang and Yu in [Partial regularity of suitable weak solutions to the fractional Navier–Stokes equations, Comm. Math. Phys. 334 (2015) 1455–1482], our results include their endpoint case [Formula: see text] and the external force belongs to a more general parabolic Morrey space. Moreover, we prove some interior regularity criteria just via the scaled mixed norm of the velocity for the suitable weak solutions to the fractional MHD equations.
2019 ◽
Vol 29
(6)
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pp. 2681-2698
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Keyword(s):
2014 ◽
Vol 334
(3)
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pp. 1455-1482
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Keyword(s):
1982 ◽
Vol 35
(6)
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pp. 771-831
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Keyword(s):
2017 ◽
Vol 33
(12)
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pp. 1632-1646
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Keyword(s):
2006 ◽
Vol 226
(2)
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pp. 594-618
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Keyword(s):
1999 ◽
Vol 1
(4)
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pp. 356-387
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2007 ◽
Vol 273
(1)
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pp. 161-176
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2009 ◽
pp. 613-630
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Keyword(s):
2014 ◽
Vol 256
(3)
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pp. 1224-1249
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