Existence, uniqueness and stability of steady flows of second- and third-grade fluids in an unbounded pipe-like domain. (English) Zbl 1006.76003
Summary: We study steady motions of viscous incompressible third-grade fluids in unbounded channels with arbitrary shape. Such flows exist for small fluxes, due to a pressure drop. We prove that they are asymptotically stable in time, provided the viscosity is sufficiently large, and the initial perturbation is sufficiently small.
