We consider a coupled system of partial and ordinary differential equations describing the interaction between an incompressible inviscid fluid and a rigid body moving freely inside the fluid. We prove the existence of measure-valued solutions which is generated by the vanishing viscosity limit of incompressible fluid–rigid body interaction system under some physically constitutive relations. Moreover, we show that the measure-valued solution coincides with strong solution on the interval of its existence. This relies on the weak–strong uniqueness analysis. This is the first result of an existence of measure-valued solution and weak–strong uniqueness in measure-valued sense in the case of inviscid fluid–structure interaction.

我们考虑一个由偏微分方程组和常微分方程组组成的耦合系统，这些系统描述了不可压缩的无粘性流体与在流体内部自由运动的刚体之间的相互作用。我们证明了在某些物理本构关系下，不可压缩流体-刚体相互作用系统的粘度极限消失所产生的度量值解的存在。此外，我们证明了度量值解与存在区间上的强解一致。这依赖于弱-强唯一性分析。这是在无粘性的流体-结构相互作用的情况下，存在量值解决方案和量值意义上的弱强唯一性的第一个结果。