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An English Translation of Gr\'obli's Ph.D. Dissertation: 'Specielle Probleme \'uber die Bewegung geradliniger paralleler Wirbelf\'aden'

Authors :
Goodman, Roy H.
Publication Year :
2024

Abstract

Here we provide a complete English translation of Walter Gr\"obli's 1877 Ph.D. Thesis, together with some notes on the process. The work considers the dynamics of point vortices in a two-dimensional inviscid incompressible fluid and derives a number of exact solutions in the cases of three, four and $2n$ vortices with certain restriction on the vortices' circulation and the symmetry of the initial configuration.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2404.01305
Document Type :
Working Paper