On Leray’s problem with the Navier-slip boundary condition – Jiaqi Yang (Northwestern Polytechnical University, Xi’an, China)

The original Leray’s problem concerns the well-posedness of weak solutions to the steady incompressible Navier-Stokes equations in a distorted pipe, which approach to the Poiseuille flow subject to the no-slip boundary condition at spacial infinity. In this talk, we will discuss the same problem with the Navier-slip boundary condition instead of the no-slip boundary condition. Our recent developments on this aspect will be presented. This is a joint work with Zijin Li and Xinghong Pan.