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 …

Small moving rigid body into a viscous incompressible fluid

C Lacave, T Takahashi - Archive for Rational Mechanics and Analysis, 2017 - Springer
We consider a single disk moving under the influence of a two dimensional viscous fluid and
we study the asymptotic as the size of the solid tends to zero. If the density of the solid is …

On the motion of a small rigid body in a viscous compressible fluid

E Feireisl, A Roy, A Zarnescu - Communications in Partial …, 2023 - Taylor & Francis
We consider the motion of a small rigid object immersed in a viscous compressible fluid in
the 3-dimensional Eucleidean space. Assuming the object is a ball of a small radius ε we …

A small solid body with large density in a planar fluid is negligible

J He, D Iftimie - Journal of Dynamics and Differential Equations, 2019 - Springer
In this article, we consider a small rigid body moving in a viscous fluid filling the
whole\mathbb R^ 2 R 2. We assume that the diameter of the rigid body goes to 0, that the …

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 vanishing rigid body problem in a viscous compressible fluid

M Bravin, Š Nečasová - Journal of Differential Equations, 2023 - Elsevier
In this paper we study the interaction of a small rigid body in a viscous compressible fluid.
The system occupies a bounded three dimensional domain. The object it allowed to freely …

Vanishing viscosity limit for an expanding domain in space

HJN Lopes, JP Kelliher, MC Lopes Filho - … de l'Institut Henri Poincaré C, 2009 - ems.press
We study the limiting behavior of viscous incompressible flows when the fluid domain is
allowed to expand as the viscosity vanishes. We describe precise conditions under which …

[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 …

Limits of the Stokes and Navier–Stokes equations in a punctured periodic domain

M Chipot, J Droniou, G Planas… - Analysis and …, 2020 - World Scientific
We treat three problems on a two-dimensional “punctured periodic domain”: we take Ω r=(−
L, L) 2\r K, where r> 0 and K is the closure of an open connected set that is star-shaped with …

3D viscous incompressible fluid around one thin obstacle

C Lacave - Proceedings of the American Mathematical Society, 2015 - ams.org
In this article, we consider Leray solutions of the Navier-Stokes equations in the exterior of
one obstacle in 3D and we study the asymptotic behavior of these solutions when the …