On a System of Equations of a Non-Newtonian Micropolar Fluid

G. M. de Araújo, M. A. F. de Araújo, E. F. L. Lucena
2015 Journal of Applied Mathematics  
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 ofR3with Dirichlet boundary conditions. The operator stress tensor is given byτ(e(u))=[(ν+ν0M(|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.
doi:10.1155/2015/481754 fatcat:t53uosasxbgfnbz5pmjmaangmq