Viscoelastic fluids in thin domains: a mathematical proof

Details Viscoelastic fluids in thin domains: a mathematical proof Viscoelastic fluids in thin domains: a mathematical proof

2008-11-20

arxiv.org/abs/0811.3331v1

Asymptotic Analysis 64, 3-4 (2009) 185-211

Mathematics

Analysis of PDEs

Scientific paper

The present paper deals with non Newtonian viscoelastic flows of Oldroyd-B
tye in thin domains. Such geometries arise for example in the context of
lubrication. More precisely, we justify rigorously the asymptotic model
obtained heuristically by proving the mathematical convergence of the
Navier-Stokes/Oldroyd-B sytem towards the asymptotic model.

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