Computational methods and algorithms

On positive infinitely smooth vortex in zonal flow

A. P. Smirnov, E. A. Sheina

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 517.958

Received: 16.07.1990

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