We study a 3D nonlinear moving boundary fluid-structure interaction problem describing the interaction of the fluid flow with a rigid body. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the rigid body is described by a system of ordinary differential equations called Euler equations for the rigid body. The equations are fully coupled via dynamical and kinematic coupling conditions. We consider two different kinds of kinematic coupling conditions: no-slip and slip. In both cases we prove a generalization of the well-known weak-strong uniqueness result for the Navier-Stokes equations to the fluid-rigid body system. More precisely, we prove that weak solutions that additionally satisfy the Prodi-Serrin \(\text {L}^{r}-\text {L}^{s}\) condition are unique in the class of Leray-Hopf weak solutions.

我们研究了3D非线性移动边界流体-结构相互作用问题，该问题描述了流体与刚体的相互作用。流体的流动由3D不可压缩的Navier-Stokes方程控制，而刚体的运动由称为刚体的Euler方程的微分方程组来描述。这些方程通过动力学和运动学耦合条件完全耦合。我们考虑两种不同的运动学耦合条件：无滑移和滑移。在这两种情况下，我们都证明了将Navier-Stokes方程的众所周知的弱强唯一性结果推广到流体刚体系统。更确切地说，我们证明了弱解还可以满足Prodi-Serrin \（\ text {L} ^ {r}-\ text {L} ^ {s} \） 条件在Leray-Hopf弱解类中是唯一的。