2 papers
math.AP2023
Stable plane Euler flows with concentrated and sign-changing vorticity
Guodong Wang, Bijun Zuo
We construct a family of steady solutions to the two-dimensional incompressible Euler equation in a general bounded domain, such that the vorticity is supported in two well-separat…
math.AP2022
An extension of Arnold's second stability theorem in a multiply-connected domain
Guodong Wang, Bijun Zuo
We give a sufficient condition for the nonlinear stability of steady flows of a two-dimensional ideal fluid in a bounded multiply-connected domain, which generalizes a stability cr…