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

E Feireisl, A Roy, A Zarnescu - Journal of Nonlinear Science, 2023 - Springer
We consider the motion of a compressible viscous fluid containing a moving rigid body
confined to a planar domain Ω⊂ R 2. The main result states that the influence of the body on …

On the motion of a large number of small rigid bodies in a viscous incompressible fluid

E Feireisl, A Roy, A Zarnescu - Journal de Mathématiques Pures et …, 2023 - Elsevier
We consider the motion of N rigid bodies–compact sets (S ε 1,⋯, S ε N) ε> 0–immersed in a
viscous incompressible fluid contained in a domain in the Euclidean space R d, d= 2, 3. We …

On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three

M Bravin, Š Nečasová - Journal of Dynamics and Differential Equations, 2023 - Springer
In this paper we study the evolution of a small rigid body in a viscous incompressible fluid, in
particular we show that a small particle is not accelerated by the fluid in the limit when its …

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

M Bravin, Š Nečasová - Journal of Nonlinear Science, 2024 - Springer
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 …

Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two

M Bravin - arXiv preprint arXiv:2208.11166, 2022 - arxiv.org
In this paper we highlight a set of ad hoc test functions to study the homogenization of
viscous compressible fluid in domains with tiny holes. This set of functions allows to improve …

On the collective effect of a large system of heavy particles immersed in a Newtonian fluid

M Bravin, E Feireisl, A Roy, A Zarnescu - arXiv preprint arXiv:2407.08595, 2024 - arxiv.org
We consider the motion of a large number of heavy particles in a Newtonian fluid occupying
a bounded spatial domain. When we say" heavy", we mean a particle with a mass density …

[PDF][PDF] On the motion of several small rigid bodies in a viscous incompressible fluid

E Feireisl, A Roy, A Zarnescu - arXiv preprint arXiv:2209.09284, 2022 - researchgate.net
We consider the motion of N rigid bodies–compact sets (S1 ε,···, SN ε) ε> 0–immersed in a
viscous incompressible fluid contained in a domain in the Euclidean space Rd, d= 2, 3. We …

The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid

J He, P Su - Mathematische Annalen, 2024 - Springer
We consider the evolution of a small rigid body in an incompressible viscous fluid filling the
whole space\({{\mathbb {R}}}^ 3\). When the small rigid body shrinks to a “massless” point in …