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

0584768 - MÚ 2025 RIV DE eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA22-01591S
Grant ostatní: AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institucionální podpora: RVO:67985840
Klíčová slova: asymptotic limit * fluid-structure interaction * Navier-Stokes
Obor OECD: Pure mathematics
Impakt faktor: 3, rok: 2022
Způsob publikování: 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.
Trvalý link: https://hdl.handle.net/11104/0352613