The existence of periodic solution and behavior of the generalized solution when t→+∞ of boundary problem of non-Newtonian fluids

摘要

In this paper, we discuss the existence of periodic solution and the behavior of the generalized solution when t→+∞ of the first boundary problem of incompressible non-Newtonian fluids. This problem arises from polymer processing which concerns with the first initial-boundary value problem of non-stationary thin-plate flow of the non-Newtonian viscous incompressible fluids. By using the monotone operator theory and the Schauder's fixed point theorem, we have obtained the existence theorem of periodic solution and the characteristics of generalized solution when t→+∞.