2 citations · 2 across the 6 of their papers we have counts for
6 papers
Asymmetric Periodic Water Waves in Finite Depth
Yuchen Wang, Shusen Yan, Maolin Zhou
We consider the full two-dimensional water-wave equations in finite depth, with and without surface tension. Water waves have been studied mathematically for more than two centurie…
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…
Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches
Yuchen Wang, Xin Xu, Maolin Zhou
In this paper, we obtain families of two-fold doubly-connected uniformly rotating vortex patches of the 2-D incompressible Euler equations emanating from some specific annuli. The…