In this article, we consider a fluid–structure interaction system where the fluid is viscous and
compressible and where the structure is a part of the boundary of the fluid domain and is …

In this work, we study the motion of a rigid body in a bounded domain which is filled with a
compressible isentropic fluid. We consider the Navier-slip boundary condition at the …

In this paper, we study a mathematical model describing the movement of a colloidal particle
in a fixed, bounded three dimensional container filled with a nematic liquid crystal fluid. The …

This paper is devoted to study the controllability of a one-dimensional fluid-particle
interaction model where the fluid follows the viscous Burgers equation and the point mass …

We consider a system of multiple insulating rigid bodies moving inside of an electrically
conducting compressible fluid. In this system, we take into account the interaction of the fluid …

We study the dynamics of a coupled system, formed by a rigid body with a cavity entirely
filled with magnetohydrodynamic compressible fluid. Our aim is to derive the global …

arXiv:2408.00010v1 [math.AP] 24 Jul 2024 To collide, or not to collide, that is the question - a
survey Page 1 arXiv:2408.00010v1 [math.AP] 24 Jul 2024 To collide, or not to collide, that is …

We consider a control system describing the interaction of water waves with a partially
immersed rigid body constraint to move only in the vertical direction. The fluid is modeled by …

We consider a bounded domain $\Omega\subset\mathbb R^ 3$ and a rigid body $\mathcal
{S}(t)\subset\Omega $ moving inside a viscous compressible Newtonian fluid. We exploit the …

This paper addresses the problem of global asymptotic and local exponential stabilization of
a rigid body inside a viscous incompressible fluid described by Navier–Stokes equations …