On flows of viscoelastic fluids of oldroyd type with wall slip

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Authors

Le Roux, Christiaan

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Publisher

Springer

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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Keywords

Viscoelastic fluid, Oldroyd fluid, Slip boundary condition

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Citation

Le 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.