4 papers · 1 filter
A small rigid body immersed in a three-dimensional viscous fluid and the vanishing viscosity limit
Xiaoguang You
In this paper, we investigate the asymptotic behavior of a coupled fluid--rigid body system, consisting of a rigid body immersed in a three-dimensional viscous incompressible fluid…
Steady Euler flows with contact discontinuities in infinitely long nozzles
Jun Chen, Xuemei Deng, Xiaoguang You
We investigate two-dimensional steady subsonic Euler flows with a contact discontinuity in infinitely long nozzles. An Euler--Lagrange transformation reduces the problem to a scala…
Global well-posedness of solutions for the equations modelling the motion of a rigid body in a bidimensional perfect fluid
Xiaoguang You
This paper considers a system modelling the evolution of a rigid body immersed in a bidimensional incompressible perfect fluid. In the special case of a disk-shaped rigid body, it…
Local existence and uniqueness of solutions for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
Xiaoguang You
In this paper, we consider the 2D incompressible MHD equations with horizontal dissipation and horizontal magnetic diffusion. We establish local existence and uniqueness of solutio…