The stability of single and double vortex films in the framework of the Hasegawa-Mima equation

The results of investigation of the stability problem for single and double vortex films in terms of the Hasegawa-Mima equation are presented. It is proved that a single chain of point vortices and a single vortex film are always unstable. It is shown that an antisymmetrical double vortex chain can be stable for certain chain parameters, as it is for the von Karman vortex row. The results of the numerical simulation of the instability onset in the strongly nonlinear stage are also discussed.