11 citations · 59 across the 30 of their papers we have counts for
4 papers · 2 filters
Rigidity of stationary and uniformly rotating planar Euler flows in the Yudovich class
Boquan Fan, Yuchen Wang, Chunjing Xie +1
We prove a rigidity theorem for stationary and uniformly rotating solutions of the two-dimensional incompressible Euler equation with vorticity $ ω_0\in C^1(\mathbb{R}^2)\cap L^1(\…
A Variational Family of Traveling Vortex Dipoles: Transition, Uniqueness, and Stability
Ken Abe, In-Jee Jeong, Guolin Qin +1
We provide a unified description of a stable variational family of traveling vortex dipoles for the two-dimensional incompressible Euler equations, connecting the classical Lamb di…
Uniformly Rotating Vortex Patches with Arbitrarily Many Genuine Holes
Zhilong Xue, Weicheng Zhan
For every prescribed integer , we construct uniformly rotating unit-vorticity vortex patches for the planar Euler equation such that is connected and $\…
Smooth Failure of Boundary Unique Continuation for Harmonic Functions
Guolin Qin, Weicheng Zhan
For every , we construct a nonconstant real-valued function , harmonic in the upper half-space, whose complete boundary jet vanish…