2 papers
math.AP2026
Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem
Yuchen Wang, Guanghui Zhang, Maolin Zhou
In this paper, we consider the sign-changing free boundary problem related to the uniformly rotating vortex patch solutions of the two-dimensional incompressible Euler equations. W…
math.AP2025
Asymptotics of the principal eigenvalue of a linear elliptic operator with large advection
Rui Peng, Guanghui Zhang
Consider the eigenvalue problem of a linear second order elliptic operator: \begin{equation} \nonumber -DÎÏ-2α\nabla m(x)\cdot \nablaÏ+V(x)Ï=Î»Ï \ \hbox{ in }Ω, \end{equatio…