We consider the problem of motion of several rigid bodies immersed in a perfect compressible fluid. Using the method of convex integration we establish the existence of infinitely many weak solutions with a priori prescribed motion of rigid bodies. In particular, the dynamics is completely time–reversible at the motion of rigid bodies although the solutions comply with the standard entropy admissibility criterion.

中文翻译：

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关于刚体在完美流体中的运动

我们考虑了浸入完美可压缩流体中的几个刚体的运动问题。使用凸积分方法，我们建立了具有先验规定刚体运动的无穷多个弱解的存在。特别是，尽管解决方案符合标准的熵允许标准，但动力学在刚体运动时是完全可逆的。