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 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.
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The research of E.F. and V.M. leading to these results has received funding from the Czech Sciences Foundation (GAČR), Grant Agreement 18–05974S. The Institute of Mathematics of the Academy of Sciences of the Czech Republic is supported by RVO:67985840.
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Feireisl, E., Mácha, V. On the motion of rigid bodies in a perfect fluid. Nonlinear Differ. Equ. Appl. 28, 35 (2021). https://doi.org/10.1007/s00030-021-00697-5
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DOI: https://doi.org/10.1007/s00030-021-00697-5