论文标题
流体 - 刚性的身体相互作用在不可压缩的电导流体中
Fluid-rigid body interaction in an incompressible electrically conducting fluid
论文作者
论文摘要
我们分析了一个数学模型，该模型描述了绝缘刚体与周围不可压缩的电导流体之间的相互作用。该模型以及数学分析涉及流体结构相互作用和磁流失动力学的领域。我们的主要结果表明，存在对相应的部分微分方程系统的薄弱解决方案。证明依赖于通过ROTHE方法将时间离散化的使用来解除系统。这使我们能够根据移动主体的位置以及系统的解决方案（在诱导方程的弱公式中）处理测试功能。此外，证据还利用了边缘惩罚，以应对问题的机械部分。
We analyze a mathematical model that describes the interaction between an insulating rigid body and an incompressible electrically conducting fluid surrounding it. The model as well as the mathematical analysis involve the fields of fluid-structure interaction and of magnetohydrodynamics. Our main result shows the existence of a weak solution to the corresponding system of partial differential equations. The proof relies on a use of a time discretization via the Rothe method to decouple the system. This allows us to deal with test functions, depending on the position of the moving body and therefore on the solution of the system, in the weak formulation of the induction equation. The proof moreover makes use of the Brinkman penalization in order to cope with the mechanical part of the problem.
