Geodesic
On positive infinitely smooth vortex in zonal flow
Matematičeskoe modelirovanie, Tome 2 (1990) no. 12, pp. 116-121 
A. P. Smirnov; E. A. Sheina. On positive infinitely smooth vortex in zonal flow. Matematičeskoe modelirovanie, Tome 2 (1990) no. 12, pp. 116-121. http://geodesic.mathdoc.fr/item/MM_1990_2_12_a8/
@article{MM_1990_2_12_a8,
     author = {A. P. Smirnov and E. A. Sheina},
     title = {On positive infinitely smooth vortex in zonal flow},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {116--121},
     year = {1990},
     volume = {2},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_12_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Long waves propagating in a zonal flow within a layer of rotating liquid or atmosphere are considered in the paper. The theorem about non-trivial solutions of quasi-linear elliptical equations in $H^1(\mathbf R^n)$ is used. The existence of positive exponentially local vortex running along a geographic parallel is shown. The vortex has infinite smoothness. An example of the vortex has been calculated numerically.