2 citations · 3 across the 8 of their papers we have counts for
12 papers
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…
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…
Large forward discretely self-similar solutions to the two-dimensional Navier-Stokes equations with rough data
Changfeng Gui, Hao Liu, Chunjing Xie
We construct forward discretely self-similar (DSS) solutions of two-dimensional Navier-Stokes equations with arbitrarily large data in . For…
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…
Liouville theorems for -Laplacian equations in convex cones without finite-energy condition
Lu Chen, Wei Dai, Changfeng Gui +1
We study the anisotropic Finsler -Laplacian equation \begin{equation*} \left\{ \begin{aligned} &-Δ^{H}_{p}u=f(u) \quad\,\,\, &{\rm{in}} \,\, \mathcal{C}, &{\bf{a}}(\nabla u)\cdo…
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…
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…
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 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…