Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum
School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, P.R. China
Boundary Value Problems 2013, 2013:160 doi:10.1186/1687-2770-2013-160Published: 1 July 2013
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 , where and , then the strong solutions to the Cauchy problem can exist globally over . The initial density may vanish on open sets, that is, the initial vacuum is allowed.
MSC: 76N10, 35B44, 35B45.