Existence of Periodic Solution for a Dirichlet Problem

Aim To discuss the existence of periodic solutions for the first boundary problem of incompressible non Newtonian fluids; a problem arising from polymer processing and concerned with the first initial boundary value problem of nonstationary flow of the non Newtonian viscous incompressible fluids through slit dice. Methods The monotone operator theory and Schauders fixed point theorem were used. Results and Conclusion The existence theorem of periodic solutions of a Dirichlet problem is proved under reasonable conditions.