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 with Dirichlet boundary conditions. The operator stress tensor is given by . 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.
G. M. de Araújo. M. A. F. de Araújo. E. F. L. Lucena. "On a System of Equations of a Non-Newtonian Micropolar Fluid." J. Appl. Math. 2015 1 - 11, 2015. https://doi.org/10.1155/2015/481754