On the motion of a nearly incompressible viscous fluid containing a small rigid body

0575129 - MÚ 2024 RIV DE eng J - Článek v odborném periodiku
Feireisl, Eduard - Roy, A. - Zarnescu, A.
On the motion of a nearly incompressible viscous fluid containing a small rigid body.
Journal of Nonlinear Science. Roč. 33, č. 5 (2023), č. článku 94. ISSN 0938-8974. E-ISSN 1432-1467
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible fluid * fluid-structure interaction * low Mach number limit * small body motion
Obor OECD: Pure mathematics
Impakt faktor: 3, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1007/s00332-023-09949-3

We consider the motion of a compressible viscous fluid containing a moving rigid body confined to a planar domain Ω ⊂ R2 . The main result states that the influence of the body on the fluid is negligible if (i) the diameter of the body is small and (ii) the fluid is nearly incompressible (the low Mach number regime). The specific shape of the body as well as the boundary conditions on the fluid–body interface are irrelevant and collisions with the boundary ∂Ω are allowed. The rigid body motion may be enforced externally or governed solely by its interaction with the fluid.
Trvalý link: https://hdl.handle.net/11104/0344985