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20242026
most citedSelf-Similar Solutions to the steady Navier-Stokes Equations in a two-dimensional sector

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2026

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…

math.AP2026

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…

math.AP2026

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…