Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation

D Maity, T Takahashi - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
The article is devoted to the mathematical analysis of a fluid–structure interaction system
where the fluid is compressible and heat conducting and where the structure is deformable …

Large time behaviour for the motion of a solid in a viscous incompressible fluid

S Ervedoza, D Maity, M Tucsnak - Mathematische Annalen, 2023 - Springer
In this article, we study the long-time behaviour of a system describing the coupled motion of
a rigid body and of a viscous incompressible fluid in which the rigid body is contained. We …

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 …

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 …

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 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, 2024 - 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 …

Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate

D Maity, T Takahashi - Journal of Mathematical Fluid Mechanics, 2021 - Springer
We consider a viscous incompressible fluid governed by the Navier–Stokes system written
in a domain where a part of the boundary can deform. We assume that the corresponding …

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 …

On the small rigid body limit in 3D incompressible flows

J He, D Iftimie - Journal of the London Mathematical Society, 2021 - Wiley Online Library
We consider the evolution of a small rigid body in an incompressible viscous fluid filling the
whole space R 3. The motion of the fluid is modeled by the Navier–Stokes equations …