Inflow boundary conditions for steady flows of viscoelastic fluids with differential constitutive laws

Abstract

We prove an existence result for steady flows through a strip which can be regarded as a perturbation of rigid motion. The fluid is viscoelastic with a differential constitutive law, e.g., an upper convected Maxwell model. Particular emphasis is focussed on the question which boundary conditions need to be imposed at the inflow boundary to make the problem well-posed. © 1988 Rocky Mountain Mathematics Consortium.