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math.AP2026
Flexibility and rigidity of steady states of the two-dimensional Euler equations in an infinite channel
Yupei Huang, Chunjing Xie, Chilin Zhang
We study steady solutions to the two-dimensional incompressible Euler equations in an infinite channel, whose far-field limits are uniformly non-stagnant shear flows. In the smooth…
math.AP2026
On the flexibility of 2D Euler steady states
Tarek M. Elgindi, Yupei Huang
We consider steady states of the incompressible Euler equation on two-dimensional domains. For non-radial analytic steady states on bounded simply connected domains, it was shown p…