2 citations · 4 across the 13 of their papers we have counts for
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Self-similar solutions to the steady Navier-Stokes equations in arbitrarily high dimensions
Changfeng Gui, Hao Liu, Yun Wang +1
We study -homogeneous solutions of the steady Navier-Stokes equations in with -homogeneous, locally Lipschitz forces. Previous work [2] esta…
Behavior of the Stokes System and the Navier--Stokes System in the Half Space
Rao Li, Haitao Wang, Chunjing Xie
In this paper, the detailed behavior of solutions of both the Stokes and the Navier--Stokes system in the half space is investigated when the initial data belongs to . We firs…
Pressure estimates and classifications for steady -solutions to two-dimensional incompressible Euler equations
Changfeng Gui, Qinfeng Li, Chunjing Xie +1
We study two-dimensional steady incompressible Euler flows with finite total curvature. A distinguished family of such flows arises from finite-Morse-index solutions to semilinear…
Rigidity of stationary and uniformly rotating planar Euler flows in the Yudovich class
Boquan Fan, Yuchen Wang, Chunjing Xie +1
We prove a rigidity theorem for stationary and uniformly rotating solutions of the two-dimensional incompressible Euler equation with vorticity $ ω_0\in C^1(\mathbb{R}^2)\cap L^1(\…
Rigidity of Stationary Navier-Stokes Solutions with Transverse bound in Dimensions Five and Higher
Changfeng Gui, Hao Liu, Yun Wang +1
For , let be a smooth solution of the stationary incompressible Navier-Stokes equations in , where is the -axis. We prove tha…
Self-similar stationary Navier--Stokes flows in a half-space with arbitrarily large swirl forcing
Yun Wang, Chunjing Xie, Shaoheng Zhang
We study axisymmetric self-similar solutions of the stationary Navier--Stokes equations with -homogeneous forces and no-slip boundary conditions in a half-space. For a fixed…
Complete Rigidity at infinity and Existence of the Levinson Cavity
Yan Li, Sitan Lin, Georg S. Weiss +1
We present a potential theoretic approach reducing the analysis of the asymptotic shape of free surfaces to the analysis of a precise ordinary differential equation resulting from…
Minus one Homogeneous Euler Flows are Geodesible
Ken Abe, Naoki Sato, Chunjing Xie
In this paper, we study -homogeneous steady solutions to the Euler equations on . In low dimensions , such flows are known to be essentia…
Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System
Myoungjean Bae, Ben Duan, Chunjing Xie
We prove the global uniqueness of multidimensional subsonic flows for the steady Euler--Poisson system in a bounded nozzle in the sense that uniqueness holds without restricting so…
On the forward self-similar solutions to the two-dimensional Navier-Stokes equations
Changfeng Gui, Hao Liu, Chunjing Xie
We establish the global existence of forward self-similar solutions to the two-dimensional incompressible Navier-Stokes equations for any divergence-free initial velocity that is h…
A selection principle for 2D steady Euler flows via the vanishing viscosity limit
Changfeng Gui, Chunjing Xie, Huan Xu
The 2D Euler system, which governs inviscid incompressible fluid flow, can admit infinitely many steady solutions in a given domain with slip boundary conditions. To select physica…
On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
Jeaheang Bang, Changfeng Gui, Hao Liu +2
We prove that the steady incompressible Navier-Stokes equations with any given -homogeneous, locally Lipschitz external force on , $4\leq n\leq 16…
Least total curvature solutions to steady Euler system and monotone solutions to semilinear equations in a strip
Changfeng Gui, David Ruiz, Chunjing Xie +1
This paper focuses on establishing the existence of a class of steady solutions, termed least total curvature solutions, to the incompressible Euler system in a strip. The solution…
Shock formation for the 2D rotating shallow water equations with non-zero vorticity
Zhendong Chen, Chunjing Xie
In the paper, the shock formation for the two-dimensional rotating shallow water system is established. We construct a large class of initial data which leads to the finite-time bl…
Self-Similar Solutions to the steady Navier-Stokes Equations in a two-dimensional sector
Jeaheang Bang, Changfeng Gui, Hao Liu +2
This paper is concerned with self-similar solutions of the steady Navier-Stokes system in a two-dimensional sector with the no-slip boundary condition. We give necessary and suffic…
Liouville-type theorems for Axisymmetric solutions to steady Navier-Stokes system in a layer domain
Jingwen Han, Yun Wang, Chunjing Xie
In this paper, we investigate the Liouville-type theorems for axisymmetric solutions to steady Navier-Stokes system in a layer domain. The both cases for the flows supplemented wit…
On a classification of steady solutions to two-dimensional Euler equations
Changfeng Gui, Chunjing Xie, Huan Xu
In this paper, we provide a classification of steady solutions to two-dimensional incompressible Euler equations in terms of the set of flow angles. The first main result asserts t…
Liouville-type theorems for steady Navier-Stokes system under helical symmetry or Navier boundary conditions
Jingwen Han, Yun Wang, Chunjing Xie
In this paper, the Liouville-type theorems for the steady Navier-Stokes system are investigated. First, we prove that any bounded smooth helically symmetric solution in $\mathbb{R}…
Liouville-type theorems for steady solutions to the Navier-Stokes system in a slab
Jeaheang Bang, Changfeng Gui, Yun Wang +1
Liouville-type theorems for the steady incompressible Navier-Stokes system are investigated for solutions in a three-dimensional slab with either no-slip boundary conditions or per…