On a system of equations of a non-Newtonian micropolar fluid (Q305460)

Summary: We investigate a problem for a model of a non-Newtonian micropolar fluid coupled system. The problem has been considered in a bounded, smooth domain of \(\mathbb{R}^3\) with Dirichlet boundary conditions. The operator stress tensor is given by \(\tau(e(u)) = [(\nu + \nu_0 M(| e(u) |^2)) e(u)]\). To prove the existence of weak solutions we use the method of Faedo-Galerkin and compactness arguments. Uniqueness and periodicity of solutions are also considered.