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

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.

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Bibliographic Details
Main Author: Robert M. Gethner
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201007153
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author Robert M. Gethner
author_facet Robert M. Gethner
author_sort Robert M. Gethner
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description 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.
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-161890dfa0d8405a846080d26c6e43d02025-02-03T06:44:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01281057158010.1155/S0161171201007153Motion of two point vortices in a steady, linear, and elliptical flowRobert M. Gethner0Mathematics Department, Franklin and Marshall College, Lancaster, PA 17604, USAFor 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.http://dx.doi.org/10.1155/S0161171201007153
spellingShingle Robert M. Gethner
Motion of two point vortices in a steady, linear, and elliptical flow
International Journal of Mathematics and Mathematical Sciences
title Motion of two point vortices in a steady, linear, and elliptical flow
title_full Motion of two point vortices in a steady, linear, and elliptical flow
title_fullStr Motion of two point vortices in a steady, linear, and elliptical flow
title_full_unstemmed Motion of two point vortices in a steady, linear, and elliptical flow
title_short Motion of two point vortices in a steady, linear, and elliptical flow
title_sort motion of two point vortices in a steady linear and elliptical flow
url http://dx.doi.org/10.1155/S0161171201007153
work_keys_str_mv AT robertmgethner motionoftwopointvorticesinasteadylinearandellipticalflow