Model of compactons on jet streams and their collapse.
We formulate the Hamiltonian version of contour dynamics for a model of axially symmetric, equally vortexed jet streams with a free boundary. In particular, we study dominant structural elements which appear in strongly perturbed jet streams at the stage of their decay. The model produces solutions with compact support which can describe such dominant structures, called compactons. Evolution of the compactons can lead to their collapse which virtually does not deform the shape, but gradually intensifies the vortex sheet at the boundary according to the law (t(0)-t)-1, where t(0) is the collapse time.
Goncharov
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Institute of Atmospheric Physics, Russian Academy of Sciences, 109017 Moscow, Russia. v.goncharov@mtu-net.ru
Pavlov
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