Le Roux, Christiaan2015-08-172015-08-172014-06Le Roux, C 2014, 'On flows of viscoelastic fluids of oldroyd type with wall slip', Journal of Mathematical Fluid Mechanics, vol. 16, no. 2, pp. 335-350.1422-6928 (print)1422-6952 (online)10.1007/s00021-013-0159-9http://hdl.handle.net/2263/49348We consider the boundary-value problem for the steady isothermal flow of an incompressible viscoelastic liquid of Oldroyd type in a bounded domain with a Navier type slip boundary condition. We prove that under some restrictions on the material constants and the data, there exists a strong solution which is locally unique. The proof is based on a fixed point argument in which the boundary-value problem is decomposed into a transport equation and a Stokes system.en© 2013 Springer Basel. The original publication is available at : http://link.springer.comjournal/21.Viscoelastic fluidOldroyd fluidSlip boundary conditionPostprint Article