标题： 高阶项在小直径电导不均匀性存在时稳态电压势渐近展开中的作用 显示英文标题

标题： High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter

摘要： 我们推导了在存在有限数量的直径小异质体的情况下，稳态电压电位渐近展开式的高阶项，这些异质体的电导率与背景电导率不同。 我们的推导是严格的，并基于层势技术。 本文中的渐近展开式适用于具有Lipschitz边界和极端电导率的异质体。 显示英文摘要

摘要： We derive high-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of a finite number of diametrically small inhomogeneities with conductivities different from the background conductivity. Our derivation is rigorous, and based on layer potential techniques. The asymptotic expansions in this paper are valid for inhomogeneities with Lipschitz boundaries and those with extreme conductivities.