A 3D Non-Stationary Micropolar Fluids Equations with Navier Slip Boundary Conditions

Micropolar fluids are with microstructure and belong to a class of asymmetric stress tensor that called Polar fluids, include, as special case, the well-established Navier–Stokes model. In this work we study 3D micropolar model Navier boundary conditions without friction for velocity field homogeneous Dirichlet angular velocity. Using Galerkin method, prove existence weak solutions establish Prodi–Serrin regularity type result which allow us obtain global-in-time strong at finite time.