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arXiv · 2404.01305

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

Roy H. Goodman
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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.

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Roy H. Goodman. 2024-02-20. An English Translation of Gr\"obli's Ph.D. Dissertation: "Specielle Probleme \"uber die Bewegung geradliniger paralleler Wirbelf\"aden". https://arxiv.org/abs/2404.01305

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