The initial boundary value problem for thin-plate flow of incompressible non-Newtonian viscous fluids

Abstract

In this paper, the particular model that describes the thin-plate flow of incompressible non-Newtonian viscous fluids is investigated. This model, which arises from polymer processing, concerns the initial boundary problem of nonstationary thin-plate flow of non-Newtonian viscous incompressible fluids. By using monotone operator theory and Schauder's fixed-point theorem, an existence and uniqueness theorem for a generalized solution is obtained, and the regularity for this solution is tested.