A contemporary look at Hermann Hankel’s 1861 pioneering work on Lagrangian fluid dynamics

Author:

Frisch UrielORCID,Grimberg Gérard,Villone Barbara

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Reference87 articles.

1. Arnold, V. 1963. Proof of a theorem of A. N. Kolmogorov on the preservation of conditionally periodic motions under a small perturbation of the Hamiltonian. Uspehi Mat. Nauk 18: 13–40.

2. Arnold, V. 1966. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Annales de l’Institut Fourier 16: 1, 319–361.

3. Arnold, V. and B. Khesin. 1998. Topological methods in hydrodynamics, Springer, New York.

4. Auerbach, F. 1881. Die theoretische Hydrodynamik nach dem Gange ihrer Entwickelung in der neuesten Zeit in Kürze dargestellt: von dem K. Venetianischen Institut der Wissenschaften gekrönte Preisschrift, F. Vieweg und Sohn, Braunschweig

5. Beltrami, E.: Sui principi fondamentali della idrodinamica. Mem. Acad. Sci. Bologna C 1, 431–476; 2 A872, 381–437; 3 A873, 349–407; 5 A874, 443–484, Richerche sulla cinematica dei fluidi Opere Matematiche Tome 2 Milano 1904, pp. 202–379.

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