A note on steady vortex flows in two dimensions
Daomin Cao, Guodong Wang · Proceedings of the American Mathematical Society · 2019
In this note, we give a general criterion for steady vortex flows in a planar bounded domain. More specifically, we show that if the stream function satisfies “locally” a semilinear elliptic equation with monotone or Lipschitz nonlinearity, then the flow must be steady.