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

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

DOI: https://doi.org/10.1090/proc/14776

Published electronically: September 20, 2019

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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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