6 citations · 13 across the 8 of their papers we have counts for
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Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations
Xinghong Pan, Chao-Jiang Xu
For the three dimensional Prandtl boundary layer equations, we will show that for arbitrary and sufficiently small , the lifespan of the Gevrey-2 solution is at least of siz…
Constrained large solutions to Leray's problem in a distorted strip with the Navier-slip boundary condition
Zijin Li, Xinghong Pan, Jiaqi Yang
In this paper, we will solve the Leray's problem for the stationary Navier-Stokes system in a 2D infinite distorted strip with the Navier-slip boundary condition. The existence, un…
Finite speed axially symmetric Navier-Stokes flows passing a cone
Zijin Li, Xinghong Pan, Xin Yang +3
Let be the exterior of a cone inside a ball, with its altitude angle at most in , which touches the axis at the origin. For any initial value $v_0 = v…
On Leray's problem in an infinite-long pipe with the Navier-slip boundary condition
Zijin Li, Xinghong Pan, Jiaqi Yang
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 Poiseuill…
Global tangentially analytical solutions of the 3D axially symmetric Prandtl equations
Xinghong Pan, Chao-Jiang Xu
In this paper, we will prove the global existence of solutions to the three dimensional axially symmetric Prandtl boundary layer equations with small initial data, which lies in $H…