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Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology

Abstract:

We develop the analysis of finite element approximations of implicit power-law-like models for viscous incompressible fluids. The Cauchy stress and the symmetric part of the velocity gradient in the class of models under consideration are related by a, possibly multi–valued, maximal monotone $r$-graph, with $1 < r < \infty$. Using a variety of weak compactness techniques, including Chacon’s biting lemma and Young measures, we show that a subsequence of the sequence of finite element sol...

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Publication date:
2012-04-05
URN:
uuid:4f32cfa4-3e47-49bd-9244-6582a144cb42
Local pid:
oai:eprints.maths.ox.ac.uk:1509

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