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On Flows of Viscoelastic Fluids of Oldroyd Type with Wall Slip

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Abstract

We 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.

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  1. Department of Mathematics and Applied Mathematics, Faculty of Natural and Agricultural Sciences, University of Pretoria, Pretoria, 0002, South Africa

    Christiaan Le Roux

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Le Roux, C. On Flows of Viscoelastic Fluids of Oldroyd Type with Wall Slip. J. Math. Fluid Mech. 16, 335–350 (2014). https://doi.org/10.1007/s00021-013-0159-9

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