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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 28 (2001), Issue 10, Pages 571-580
doi:10.1155/S0161171201007153

Motion of two point vortices in a steady, linear, and elliptical flow

Robert M. Gethner

Mathematics Department, Franklin and Marshall College, Lancaster 17604, PA, USA

Received 25 September 2000; Revised 19 March 2001

Abstract

For a pair of point vortices in an inviscid, incompressible fluid in the plane, the relative and absolute motion are determined when the vortices move under the influence of (1) each other, and (2) a steady, linear, and elliptical background flow.