Self-propelled motion of a rigid body inside a density dependent incompressible fluid

0540653 - MÚ 2022 RIV FR eng J - Journal Article
Nečasová, Šárka - Roy, Arnab - Ramaswamy, M. - Schlömerkemper, A.
Self-propelled motion of a rigid body inside a density dependent incompressible fluid.
Mathematical Modelling of Natural Phenomena. Roč. 16, č. 1 (2021), č. článku 9. ISSN 0973-5348. E-ISSN 1760-6101
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : self-propelled motion * fluid-structure interaction system * Navier–Stokes equations * nonnegative density * Navier boundary conditions
OECD category: Pure mathematics
Impact factor: 3.117, year: 2021
Method of publishing: Open access
https://doi.org/10.1051/mmnp/2020052

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.
Permanent Link: http://hdl.handle.net/11104/0318273