52 citations · 198 across the 31 of their papers we have counts for
6 papers · 1 filter
Lamb dipole stability without sign condition
Ken Abe, Kyudong Choi, In-Jee Jeong +1
For the 2D incompressible Euler equations on the half-plane, we establish Lyapunov stability of the Lamb dipole without sign condition on the vorticity. The main challenge arises f…
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…
Optimal Rigidity Results for the -Hessian Equation of Lane--Emden Type
Wei Dai, Jingze Fu, Changfeng Gui +1
In this paper, we establish optimal Liouville theorems and classification results for the \(k\)-Hessian Lane--Emden equation \[ σ_k(-D^2u)=u^p\quad\text{in }\R^n,\qquad -D^2u\in\ov…
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…
A Pohozaev-type neck proof of a conditional Harnack inequality in the critical -Laplacian setting
Guolin Qin, Yi Ru-Ya Zhang
We prove a conditional Schoen-type Harnack inequality for positive weak solutions of the critical -Laplace equation under a global critical Sobol…
Flexibility and rigidity for the Couette flow in the infinite channel
Dengjun Guo, Xiaoyutao Luo, Guolin Qin
We investigate the existence of stationary and traveling wave solutions to the 2D Euler equations near the Couette flow in the infinite channel . For Sobo…