  This paper concerns the Dirichlet problem of three-dimensional inhomogeneous
Navier-Stokes equations with density-dependent viscosity. When the viscosity
coefficient $\mu(\rho)$ is a power function of the density
($\mu(\rho)=\mu\rho^\alpha$ with $\alpha>1$), it is proved that the system will
admit a unique global strong solution as long as the initial data are
sufficiently large. This is the first result concerning the existence of large
strong solution for the inhomogeneous Navier-Stokes equations in three
dimensions.
