2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Free boundary problems for the two-dimensional Euler equations in exterior domains
Daomin Cao, Boquan Fan, Weicheng Zhan
In this paper we present some classification results for the steady Euler equations in two-dimensional exterior domains with free boundaries. We prove that, in an exterior domain,…
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…
Asymptotic behavior of global vortex rings
Daomin Cao, Jie Wan, Guodong Wang +1
In this paper, we are concerned with nonlinear desingularization of steady vortex rings in with given general nonlinearity . Using the improved vorticity method,…