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math.AP2023★ 2 cited
On the rigidity of the 2D incompressible Euler equations
Yuchen Wang, Weicheng Zhan
We consider rigidity properties of steady Euler flows in two-dimensional bounded domains. We prove that steady Euler flows in a disk with exactly one interior stagnation point and…
math.AP2023
A rigidity result for the Euler equations in an annulus
Yuchen Wang, Weicheng Zhan
We are concerned with rigidity properties of steady Euler flows in two-dimensional bounded annuli. We prove that in an annulus, a steady flow with no interior stagnation point and…
math.AP2023
A Liouville theorem for the Euler equations in a disk
Yuchen Wang, Weicheng Zhan
We present a symmetry result regarding stationary solutions of the 2D Euler equations in a disk. We prove that in a disk, a steady flow with only one stagnation point and tangentia…