3 papers
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.AP2025
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…
math.AP2025
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…