1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AP2022★ 1 cited
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…
math.AP2019
On the Vanishing of some D-solutions to the Stationary Magnetohydrodynamics System
Zijin Li, Xinghong Pan
In this paper, we study the stationary magnetohydrodynamics system in . We prove trivialness of D-solutions (the velocity field and the magnetic f…
math.AP2018
Blow up of solutions for semilinear wave equations with noneffective damping
Zijin Li, Xinghong Pan
In this paper, we study the finite-time blow up of solutions to the following semilinear wave equation with time-dependent damping \[ \partial_t^2u-Δu+\fracμ{1+t}\partial_tu=|u|^p…