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arXiv · 1506.04690

Justification of lubrication approximation: an application to fluid/solid interactions

M Hillairet·Takfarinas Kelai
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Abstract

We consider the stationary Stokes problem in a three-dimensional fluid domain $\mathcal F$ with non-homogeneous Dirichlet boundary conditions. We assume that this fluid domain is the complement of a bounded obstacle $\mathcal B$ in a bounded or an exterior smooth container $\Omega$. We compute sharp asymptotics of the solution to the Stokes problem when the distance between the obstacle and the container boundary is small.

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M Hillairet, Takfarinas Kelai. 2015-06-15. Justification of lubrication approximation: an application to fluid/solid interactions. https://arxiv.org/abs/1506.04690

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