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