The inviscid limit in the Cauchy problem of the inhomogeneous incompressible Navier-Stokes equations

Applying similar arguments as introduced in Bona-Smith [4], we mainly study the inviscid limit of the inhomogeneous incompressible Navier-Stokes equations in Rd. Some results of local uniform estimates on solutions of the Navier-Stokes equations, independent of the viscosity, are also obtained.