Abstract

We prove existence of global in time strong solutions for the system of equations modelling nonstationary flows of variable density incompressible asymmetric fluids in 3-dimensional thin domains of the form Ω=defR2×(0,ϵ), where 0<ϵ≤1. Moreover, we show that, when ϵ→0+, the linear and angular velocities tend to vanish away from the initial time.