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EXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 9، دوره 12، شماره 1، خرداد 2001 اصل مقاله (324.61 K) | ||
چکیده | ||
We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear elliptic partial differential equation. The result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearrangements of a prescribed function. | ||
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