3 papers
math.AP2025
Existence of the planar stationary flow in the presence of interior sources and sinks in an exterior domain
Zijin Li, Xinghong Pan
In the paper, we consider the solvability of the two-dimensional Navier-Stokes equations in an exterior unit disk. On the boundary of the disk, the tangential velocity is subject t…
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…