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

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.

References in corpus (1)

• Regularity issues in the problem of fluid structure interaction