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

被引：0
作者：
Peixin Zhang
机构：
[1] Huaqiao University,School of Mathematical Sciences
来源：
Boundary Value Problems | / 2013卷
关键词：
compressible magneto-micropolar fluids; blow-up criterion; strong solution; vacuum;
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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 ∥ρ∥L∞(0,T;L∞)+∥u∥Ls(0,T;Lr)<∞, where 2s+3r≤1 and 3<r≤∞, then the strong solutions to the Cauchy problem can exist globally over R3×[0,T]. The initial density may vanish on open sets, that is, the initial vacuum is allowed.
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