On the trajectory of a light small rigid body in an incompressible viscous fluid

0584768 - MÚ 2025 RIV DE eng J - Journal Article
Bravin, M. - Nečasová, Šárka
On the trajectory of a light small rigid body in an incompressible viscous fluid.
Journal of Nonlinear Science. Roč. 34, č. 3 (2024), č. článku 42. ISSN 0938-8974. E-ISSN 1432-1467
R&D Projects: GA ČR(CZ) GA22-01591S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : asymptotic limit * fluid-structure interaction * Navier-Stokes
OECD category: Pure mathematics
Impact factor: 3, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00332-024-10022-w

In this paper, we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid body in the limit when its mass and its size tend to zero. We show that the velocity of the center of mass of the rigid body coincides with the background fluid velocity in the limit. We are able to consider the limit when the volume of the rigid bodies converges to zero while their densities are a fixed constant.
Permanent Link: https://hdl.handle.net/11104/0352613