A note on steady vortex flows in two dimensions

Cao, Daomin; Wang, Guodong

doi:10.1090/proc/14776

A note on steady vortex flows in two dimensions
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by Daomin Cao and Guodong Wang PDF

Proc. Amer. Math. Soc. 148 (2020), 1153-1159 Request permission

Abstract:

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.

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