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

الملخص EN

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 R 3 with Dirichlet boundary conditions.

The operator stress tensor is given by τ ( e ( u ) ) = [ ( ν + ν 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.