论文标题
不可压缩的无粘性液体相互作用的测量值解决方案和虚弱的唯一性
Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction
论文作者
论文摘要
我们考虑了一个偶联系统和普通微分方程的耦合系统，该系统描述了等固醇无粘性流体与刚体在流体内部自由移动的刚体之间的相互作用。我们证明了测量值溶液的存在，这些溶液是由不可压缩的液体 - 刚性体相互作用系统在某些物理上的关系中消失的粘度极限所产生的。此外，我们表明，在其存在的间隔内，测量值解决方案与强大的解决方案一致。这取决于弱的唯一性分析。
We consider a coupled system of partial and ordinary differential equations describing the interaction between an isentropic 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-value solution coincides with strong solution on the interval of its existence. This relies on the weak-strong uniqueness analysis.
