We consider the Stokes system for a viscous medium consisting of an impurely (inclusion) merged in a consistent background medium. Appointed on both field expansion and layer potential methods, we strictly derive the asymptotic expansion of the perturbed velocity field because of small perturbations in the interface of the inclusion. We use these techniques to determine a relationship between Stokes solutions measurements and the shape of the object. Moreover, we may prove an asymptotic expansion for the perturbation in the viscosity moment tensors (VMTs) caused by the presence of small changes in the interface of the impurity.

中文翻译：

---

Stokes系统的接口的小插口

我们考虑将斯托克斯系统用于粘性介质，该粘性介质由不纯的（包含在内）合并在一致的背景介质中组成。在场扩展和层势方法上都得到了指定，由于夹杂物界面中的微小扰动，我们严格推导了扰动速度场的渐近展开。我们使用这些技术来确定Stokes解决方案测量结果与对象形状之间的关系。此外，我们可以证明由于杂质界面中的微小变化而引起的粘度矩张量（VMT）扰动的渐近展开。