Vanishing Viscosity for Non-Homogeneous Asymmetric Fluids in R^3

We consider a non-homogeneous, viscous, incompressible asymmetric fluid in $R^3$. We prove that there exists a small time interval where the fluid variables converge uniformly as the viscosities tend to zero. In the limit, we find a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system.