Point vortex dynamics: A classical mathematics playground

Simple item page
dc.contributorVirginia Techen
dc.contributor.authorAref, Hassanen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-01-25en
dc.date.accessioned2014-01-23T13:49:07Zen
dc.date.available2014-01-23T13:49:07Zen
dc.date.issued2007-06-01en
dc.description.abstractThe idealization of a two-dimensional, ideal flow as a collection of point vortices embedded in otherwise irrotational flow yields a surprisingly large number of mathematical insights and connects to a large number of areas of classical mathematics. Several examples are given including the integrability of the three-vortex problem, the interplay of relative equilibria of identical vortices and the roots of certain polynomials, addition formulas for the cotangent and the Weierstrass zeta function, projective geometry, and other topics. The hope and intent of the article is to garner further participation in the exploration of this intriguing dynamical system from the mathematical physics community. (c) 2007 American Institute of Physics.en
dc.description.sponsorshipDanish National Research Foundationen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationAref, Hassan, "Point vortex dynamics: A classical mathematics playground," J. Math. Phys. 48, 065401 (2007); http://dx.doi.org/10.1063/1.2425103en
dc.identifier.doihttps://doi.org/10.1063/1.2425103en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/25115en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/48/6/10.1063/1.2425103en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectKirchhoff routh functionen
dc.subject2-dimensionalen
dc.subjectVorticesen
dc.subjectMotionen
dc.subjectConfigurationsen
dc.titlePoint vortex dynamics: A classical mathematics playgrounden
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
1.2425103.pdf
Size:
377.38 KB
Format:
Adobe Portable Document Format
Description:
Main article
Download

Collections

Scholarly Works, Biomedical Engineering and Mechanics