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

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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

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…