English

On the motion of rigid bodies in a perfect fluid

Mathematical Physics 2019-10-23 v1 Analysis of PDEs math.MP

Abstract

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 {\it a priori} prescribed motion of rigid bodies. In particular, the dynamics is completely \emph{time--reversible} at the motion of rigid bodies although the solutions comply with the standard entropy admissibility criterion.

Keywords

Cite

@article{arxiv.1910.09898,
  title  = {On the motion of rigid bodies in a perfect fluid},
  author = {Eduard Feireisl and Václav Mácha},
  journal= {arXiv preprint arXiv:1910.09898},
  year   = {2019}
}