On the motion of rigid bodies in a perfect fluid

0542581 - MÚ 2022 RIV CH eng J - Journal Article
Feireisl, Eduard - Mácha, Václav
On the motion of rigid bodies in a perfect fluid.
Nodea-Nonlinear Differential Equations and Applications. Roč. 28, č. 4 (2021), č. článku 35. ISSN 1021-9722. E-ISSN 1420-9004
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : compressible Euler system * convex integration * fluid–structure interaction
OECD category: Pure mathematics
Impact factor: 1.061, year: 2021
Method of publishing: Limited access
https://doi.org/10.1007/s00030-021-00697-5

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.
Permanent Link: http://hdl.handle.net/11104/0319968