A free-boundary problem for Euler flows with constant vorticity on the sphere

초록

A free-boundary problem for two-dimensional Euler flows with uniform vorticity on the surface of sphere is considered using the stereographic projection and the argument principle in complex variables. With the constant speed condition on the boundary, a circle turns out to be the unique solution on the sphere. (C) 2018 Elsevier Inc. All rights reserved.

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