2 citations · 2 across the 6 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…
On the rapidly rotating vorticity in the unit disk
Yuchen Wang
In this paper, we obtain uniformly rotating vorticity with sufficiently large angular velocity in the unit disk. The solution consists of either a small nearly-ellipse vortex patch…