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15 de dic. de 2017 · Abstract. The present is a companion paper to “A contemporary look at Hermann Hankel’s 1861 pioneering work on Lagrangian fluid dynamics” by Frisch, Grimberg and Villone [Eur. Phys. J. H 42, 537–556 (2017)]. Here we present the English translation of the 1861 prize manuscript from Göttingen University “Zur allgemeinen ...
- Barbara Villone, Cornelius Rampf, Cornelius Rampf
- 2017
15 de dic. de 2017 · Here we give a critical assessment of Hankel’s work, which covers many important aspects of fluid dynamics considered from a Lagrangian-coordinates point of view: variational formulation in the spirit of Hamilton for elastic (barotropic) fluids, transport (we would now say Lie transport) of vorticity, the Lagrangian significance of ...
- Uriel Frisch, Gérard Grimberg, Barbara Villone
- 2017
Hankel ’ s “ On the general theory of motion of fluids ” An essay including an English translation of the complete Preisschrift from 1861 ∗. barbara villone. 2017. The present is a companion paper to “A contemporary look at Hermann Hankel’s 1861 pioneering work on Lagrangian fluid dynamics” by Frisch, Grimberg and Villone (2017).
Hermann Hankel’s “On the general theory of motion of fluids” An essay including an English translation of the complete Preisschrift from 1861∗ Barbara Villone† INAF, Osservatorio Astrofisico, via Osservatorio, 30, I-10025 Pino Torinese, Italy arXiv:1707.01883v2 [math.HO] 18 Sep 2017 Cornelius Rampf‡ Institut für Theoretische Physik, University of Heidelberg, Philosophenweg 16, D ...
6 de jul. de 2017 · [1707.01883] Hermann Hankel's "On the general theory of motion of fluids", an essay including an English translation of the complete Preisschrift from 1861. Mathematics > History and Overview. [Submitted on 6 Jul 2017 ( v1 ), last revised 18 Sep 2017 (this version, v2)]
The present is a companion paper to “A contemporary look at Hermann Hankel’s 1861 pioneering work on Lagrangian fluid dynamics” by Frisch, Grimberg and Villone (2017). Here we present the English translation of the 186…
As was common throughout the second half of the 18th century and the 19th, Hankel systematically considers both the case of incompressible fluids and that of elastic fluids having a well-defined functional relation between the pressure and the density.
