Asymptotic expansion of the solution of a transmission problem for the Stokes system with a small boundary perturbation for an inclusion

Imen Balloumi, Christian Daveau · Complex Variables and Elliptic Equations · 2019

In this paper, we consider the transmission problem for the Stokes system in three dimensional case. The aim of this work is to derive the development of high-order terms in the asymptotic expansion of the solution caused by a small boundary perturbation for an inclusion. The derivation is rigorous and proved by layer potential techniques.

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