标题： 具有奇异界面的流动的平衡定律和输运定理 显示英文标题

标题： Balance Laws and Transport Theorems for Flows with Singular Interfaces

摘要： 本文给出了一个材料控制体积的简洁而严格的数学描述，该控制体积被一个奇异面分为两部分，且物理状态在此面上是不连续的。 几何背景材料以统一的方式进行了总结。 用于通用平衡律的输运定理连同证明一起给出，因为它们能提供一些关于结果的见解。 此外，从积分平衡到微分方程的推导过程也以一定的细节进行了阐述。 显示英文摘要

摘要： This paper gives a concise but rigorous mathematical description of a material control volume that is separated into two parts by a singular surface at which physical states are discontinuous. The geometrical background material is summarized in a unified manner. Transport theorems for use in generic balance laws are given with proofs since they provide some insight into the results. Also the step from integral balances to differential equations is given in some detail.