7 papers
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} &-Î^{H}_{p}u=f(u) \quad\,\,\, &{\rm{in}} \,\, \mathcal{C}, &{\bf{a}}(\nabla u)\cd…
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…
Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on ( \mathbb{S}^2 )
Changfeng Gui, Amir Moradifam
In this paper, we establish symmetry results for solutions of the mean field equation \[ \fracα{2} Îu + e^u - 1 = 0 \] on \( \mathbb{S}^2 \) for …
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…
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…