3 papers
math.AP2026
Steady Euler flows with contact discontinuities in infinitely long nozzles with general upstream data
Jun Chen, Xuemei Deng, Xiaoguang You
We investigate steady compressible Euler flows in two-dimensional infinitely long nozzles, where the piecewise smooth upstream data at infinity admits a characteristic discontinuit…
math.AP2026
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…
math.AP2024
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…