Math. Model. Nat. Phenom.
Volume 16, 2021
|Number of page(s)||26|
|Published online||03 March 2021|
Self-propelled motion of a rigid body inside a density dependent incompressible fluid*
Institute of Mathematics, Czech Academy of Sciences,
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: firstname.lastname@example.org
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
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