Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum

被引：9
|
作者：
Zhang, Peixin [1 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
基金：
中国国家自然科学基金;
关键词：
compressible magneto-micropolar fluids; blow-up criterion; strong solution; vacuum; WEAK SOLUTIONS; EXISTENCE;
D O I：
10.1186/1687-2770-2013-160
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the author establishes a blow- up criterion of strong solutions to 3D compressible viscous magneto- micropolar fluids. It is shown that if the density and the velocity satisfy parallel to rho parallel to(L infinity(O,T;L infinity)) + parallel to u parallel to(Ls(O, T; Lr)) < infinity, where 2/s + 3/r <= 1 and 3 < r <= infinity, then the strong solutions to the Cauchy problem can exist globally over R-3 x [0,T]. The initial density may vanish on open sets, that is, the initial vacuum is allowed.
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页数：16
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