Uniqueness results for weak solutions of two-dimensional fluid–solid systems
In this paper, we consider two systems modelling the evolution of a rigid body in an
incompressible fluid in a bounded domain of the plane. The first system corresponds to an …
incompressible fluid in a bounded domain of the plane. The first system corresponds to an …
On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity
In this paper we consider the motion of a rigid body immersed in a two dimensional
unbounded incompressible perfect fluid with vorticity. We prove that when the body shrinks …
unbounded incompressible perfect fluid with vorticity. We prove that when the body shrinks …
On the motion of a nearly incompressible viscous fluid containing a small rigid body
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 …
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 …
we study the asymptotic as the size of the solid tends to zero. If the density of the solid is …
Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
The point vortex system is usually considered as an idealized model where the vorticity of an
ideal incompressible two-dimensional fluid is concentrated in a finite number of moving …
ideal incompressible two-dimensional fluid is concentrated in a finite number of moving …
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 …
particular we show that a small particle is not accelerated by the fluid in the limit when its …
On the “viscous incompressible fluid+ rigid body” system with Navier conditions
On the “viscous incompressible fluid+rigid body‣ system with Navier conditions Page
1 Available online at www.sciencedirect.com Ann. IH Poincaré – AN 31 (2014) 55–80 www.elsevier.com/locate/anihpc …
1 Available online at www.sciencedirect.com Ann. IH Poincaré – AN 31 (2014) 55–80 www.elsevier.com/locate/anihpc …
A small solid body with large density in a planar fluid is negligible
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 …
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 rigid body in a two-dimensional irregular ideal flow
We consider the motion of a rigid body immersed in an ideal flow occupying the plane with
bounded initial vorticity. In that case there exists a unique corresponding solution which is …
bounded initial vorticity. In that case there exists a unique corresponding solution which is …
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 …
dimension two and three. More precisely we investigate the trajectory of the rigid body in the …