5 papers · 1 filter
A wall-law approximation for Jeffery-Hamel flows in rough wedges
Zijin Li, Xinghong Pan
We study the two-dimensional stationary Navier-Stokes equations in an unbounded wedge with small rough perturbations of its angular boundaries. The Jeffery-Hamel flow in the corres…
Existence and non-uniqueness of classical solutions to the axially symmetric stationary Navier-Stokes equations in an exterior cylinder
Zijin Li, Xinghong Pan
In this paper, we show existence and non-uniqueness on the axially symmetric stationary Navier-Stokes equations in an exterior periodic cylinder. On the boundary of the cylinder, t…
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…
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…
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…