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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…
math.AP2025
Rigidity results for finite energy solutions to the stationary 2D Euler equations
Fabio De Regibus, Francesco Esposito, David Ruiz
In this paper we prove rigidity results for classical solutions to the stationary 2D Euler equations in . Assuming that the velocity field has finite energy and that…