Vanishing viscosity for non-homogeneous asymmetric fluids in : The case

We study the vanishing viscosity problem for the local-in-time solutions to the equations of non-homogeneous, viscous, incompressible asymmetric fluid in R 3 in the L 2 context. We prove that the fluid variables converge uniformly as the viscosities go to zero to a solution of a non-homogeneous, non-viscous, incompressible asymmetric fluid governed by an Euler-like system. This completes the previous work [5] where results for L p , p > 3 , where obtained.