On flows of viscoelastic fluids of oldroyd type with wall slip
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Date
Authors
Le Roux, Christiaan
Journal Title
Journal ISSN
Volume Title
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.
Description
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.