标题： 电导流体中流体-刚体相互作用的建模 显示英文标题

标题： Modeling of fluid-rigid body interaction in an electrically conducting fluid

摘要： 我们推导了一个数学模型，用于描述多个绝缘刚体在导电流体中的运动。 从一个普遍的模型出发，该模型以一般性描述这一现象，我们详细说明（简化）了在这些物理假设下，使模型的数学分析成为可能的条件。 我们的主要重点在于电磁场的边界和界面条件的推导，以及通过系统无量纲化进行的磁流体动力学近似的推导。 显示英文摘要

摘要： We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical assumptions under which a mathematical analysis of the model becomes feasible. Our main focus lies on the derivation of the boundary and interface conditions for the electromagnetic fields as well as the derivation of the magnetohydrodynamic approximation carried out via a nondimensionalization of the system.