15 citations · 52 across the 14 of their papers we have counts for
15 papers
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…
A refined long time asymptotic bound for 3D axially symmetric Boussinesq system with zero thermal diffusivity
Zijin Li
In this paper, we obtain a refined temporal asymptotic upper bound of the global axially symmetric solution to the Boussinesq system with no thermal diffusivity. We show the spacia…
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…
Characterization of smooth solutions to the Navier-Stokes equations in a pipe with two types of slip boundary conditions
Zijin Li, Xinghong Pan, Jiaqi Yang
Smooth solutions of the stationary Navier-Stokes equations in an infinitely long pipe, equipped with the Navier-slip or Navier-Hodge-Lions boundary condition, are considered in thi…
One component regularity criteria for the axially symmetric MHD-Boussinesq system: criteria on the swirl component of the velocity
Zijin Li, Xinghong Pan
In this paper, we consider regularity criteria of a class of 3D axially symmetric MHD-Boussinesq systems without magnetic resistivity or thermal diffusivity. Under some Prodi-Serri…
Asymptotic properties of generalized D-solutions to the stationary axially symmetric Navier-Stokes equations
Zijin Li, Xinghong Pan
In this paper, we derive asymptotic properties of both the velocity and the vorticity fields to the 3-dimensional axially symmetric Navier-Stokes equations at infinity under the ge…
Liouville theorem of axially symmetric Navier-Stokes equations with growing velocity at infinity
Xinghong Pan, Zijin Li
In the paper \cite{KNSS:1}, the authors make the following conjecture: {\it any bounded ancient mild solution of the 3D axially symmetric Navier-Stokes equations is constant.} And…
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…
Some Remarks on Regularity Criteria of Axially Symmetric Navier-Stokes Equations
Zijin Li, Xinghong Pan
Two main results will be presented in our paper. First, we will prove the regularity of solutions to axially symmetric Navier-Stokes equations under a supercritical assumptio…
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…
Regularity of Weak Solutions of Elliptic and Parabolic Equations with Some Critical or Supercritical Potentials
Zijin Li, Qi S. Zhang
We prove Hölder continuity of weak solutions of the uniformly elliptic and parabolic equations %, and variable second order term coefficien…