| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Fluid-structure interaction
|
|
|---|---|---|
| Article Number | 9 | |
| Number of page(s) | 26 | |
| DOI | https://doi.org/10.1051/mmnp/2020052 | |
| Published online | 03 March 2021 | |
Self-propelled motion of a rigid body inside a density dependent incompressible fluid*
1
Institute of Mathematics, Czech Academy of Sciences,
Žitná 25,
11567
Praha 1, Czech Republic.
2
Chennai Mathematical Institute, H1, SITCOT IT Park,
Siruseri
603103, India.
3
Institute of Mathematics, Czech Academy of Sciences,
Žitná 25,
11567
Praha 1, Czech Republic.
4
Institute of Mathematics, University of Würzburg,
Emil-Fischer-Str. 40,
97074
Würzburg, Germany.
** Corresponding author: matus@math.cas.cz
Received:
10
October
2019
Accepted:
30
November
2020
This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole ℝ3. The fluid is modelled by the incompressible nonhomogeneous Navier-Stokes system with a nonnegative density. The motion of the rigid body is described by the balance of linear and angular momentum. We consider the case where slip is allowed at the fluid-solid interface through Navier condition and prove the global existence of a weak solution.
Mathematics Subject Classification: 35Q35 / 35Q30 / 76D05 / 76Z10
Key words: Self-propelled motion / fluid-structure interaction system / Navier–Stokes equations / nonnegative density / Navier boundary conditions
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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