Steady flows of slightly compressible viscoelastic fluids of Jeffreys' type around an obstacle

Abstract

We consider steady flows of slightly compressible viscoelastic fluids for which the extra-stress tensor is given by a differential constitutive equation. We examine the effect, on the flows, of compressibility. In particular, we show the existence of a unique solution to the 3-D steady boundary value problem, in the case of a nonzero Newtonian viscosity (Jeffreys' type fluids).