Stuart-type polar vortices on a rotating sphere

Stuart vortices are among the few known smooth explicit solutions of planar Euler equations with a nonlinear vorticity, and they can be adapted to model inviscid flow on surface fixed sphere. By means perturbative approach we show that method used investigate Stuart sphere provides insight into dynamics large-scale zonal flows rotating background polar vortices. Our takes advantage fact while is spinning around its axis, every point has same angular velocity but tangential proportional distance from axis rotation, so points move fastest at Equator slower as go towards poles, both which remain fixed.