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