Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey-Campanato space

被引:52
|
作者
Gala, Sadek [1 ]
机构
[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria
关键词
Magneto micropolar fluid equations; Regularity criterion; Morrey Campanato spaces; NAVIER-STOKES; MHD EQUATIONS; WEAK SOLUTIONS; MAGNETOHYDRODYNAMIC EQUATIONS; L-N; EXISTENCE; UNIQUENESS; SYSTEM; STABILITY;
D O I
10.1007/s00030-009-0047-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, some improved regularity criteria for the 3D magneto- micropolar fluid equations are established in Morrey- Campanato spaces. It is proved that if the velocity field satisfies u is an element of L2/1-T (0, T; (M) over dot(p,3/T)(R-3)) with r is an element of (0, 1) or u is an element of C (0, T;. (M) over dot(p,3/T)(R-3)) or the gradient field of velocity satisfies del u is an element of L2/2-r(0, T; (M) over dot(p,3/r)(R-3)) with r is an element of (0, 2), then the solution remains smooth on [0, T]. By the embedding L-3/r subset of (M) over dot(p,3/r), we see that our result is an improvement of ( Yuan in Acta Mathematica Scientia, to appear).
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页码:181 / 194
页数:14
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