Motion of Three Vortices near Collapse
نویسندگان
چکیده
A system of three point vortices in an unbounded plane has a special family of self-similarly contracting or expanding solutions: during the motion, vortex triangle remains similar to the original one, while its area decreases (grows) at a constant rate. A contracting con guration brings three vortices to a single point in a nite time; this phenomenon is known as vortex collapse and is of principal importance for manyvortex systems. The self-similar motion (contracting or expanding) is ∗Current adress: Division of Applied Mathematics, Brown University, Providence, RI 02912
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تاریخ انتشار 1999