论文标题
流体 - 刚性体内相互作用在可压缩的电导流体中
Fluid-rigid body interaction in a compressible electrically conducting fluid
论文作者
论文摘要
我们考虑了一个多个绝缘刚体的系统，该系统移动到可压缩流体的内部。在此系统中，我们考虑了流体与身体的相互作用以及与侵入流体和固体的电磁场的相互作用。本文的主要结果产生了系统的弱解决方案。 While the mechanical part of the problem can be dealt with via a classical penalization method, the electromagnetic part requires an approximation by means of a hybrid discrete-continuous in time system: The discrete part of the approximation enables us to handle the solution-dependent test functions in our variational formulation of the induction equation, whereas the continuous part makes sure that the non-negativity of the density and subsequently a meaningful energy在近似系统中保留了不平等。
We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system we take into account the interaction of the fluid with the bodies as well as with the electromagnetic fields trespassing both the fluid and the solids. The main result of this article yields the existence of weak solutions to the system. While the mechanical part of the problem can be dealt with via a classical penalization method, the electromagnetic part requires an approximation by means of a hybrid discrete-continuous in time system: The discrete part of the approximation enables us to handle the solution-dependent test functions in our variational formulation of the induction equation, whereas the continuous part makes sure that the non-negativity of the density and subsequently a meaningful energy inequality is preserved in the approximate system.
