A few remarks on the transport-Stokes system
A Mecherbet, F Sueur - arXiv preprint arXiv:2209.11637, 2022 - arxiv.org
We consider the so-called transport-Stokes system which describes sedimentation of
inertialess suspensions in a viscous flow and couples a transport equation and the steady …
inertialess suspensions in a viscous flow and couples a transport equation and the steady …
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 small body immersed in a two dimensional incompressible perfect fluid
In this paper we prove that the motion of a solid body in a two dimensional incompressible
perfect fluid converges, when the body shrinks to a point with fixed mass and circulation, to a …
perfect fluid converges, when the body shrinks to a point with fixed mass and circulation, to a …
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 “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 Kato type Theorem for the inviscid limit of the Navier-Stokes equations with a moving rigid body
F Sueur - Communications in Mathematical Physics, 2012 - Springer
The issue of the inviscid limit for the incompressible Navier-Stokes equations when a no-slip
condition is prescribed on the boundary is a famous open problem. A result by Kato (Math …
condition is prescribed on the boundary is a famous open problem. A result by Kato (Math …
Existence of weak solutions for a Bingham fluid-rigid body system
B Obando, T Takahashi - Annales de l'Institut Henri Poincaré C, Analyse …, 2019 - Elsevier
We consider the motion of a rigid body in a viscoplastic material. This material is modeled by
the 3D Bingham equations, and the Newton laws govern the displacement of the rigid body …
the 3D Bingham equations, and the Newton laws govern the displacement of the rigid body …
Low regularity solutions for the two-dimensional" rigid body+ incompressible Euler" system
In this note, we consider the motion of a solid body in an incompressible perfect fluid filling
the plane. We prove the global existence of solutions in the case where the initial vorticity …
the plane. We prove the global existence of solutions in the case where the initial vorticity …
[PDF][PDF] Dynamics of a point vortex as limits of a shrinking solid in an irrotational fluid
We consider the motion of a rigid body immersed in a two-dimensional perfect fluid. The fluid
is assumed to be irrotational and confined in a bounded domain. We prove that when the …
is assumed to be irrotational and confined in a bounded domain. We prove that when the …