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Risoluzione dell’ equazione funzionale che caratterizza le onde periodiche in un canale molto profondo

In: Festschrift

Author

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  • Tullio Levi-Civita

Abstract

Zusammenfassung Finora si conosce una sola soluzione rigorosa del problema delle onde atte a propagarsi in un canale senza alterazione di forma: quella trocoidale scoperta da Gerstner nel 1802. Ma le onde trocoidali presentano il noto inconveniente di corrispondere a movimento vorticoso delle particelle fluide, talchè non potrebbero sorgere per via conservativa. Lo schema meccanico della propagazione ondosa deve essere irrotazionale. Classiche soluzioni approssimate (le così dette onde semplici) furono assegnate da Airy; e altri notevoli risultati di approssimazione ulteriore, concernenti le onde periodiche, si debbono a Stokes, Rayleigh ed altri1).

Suggested Citation

  • Tullio Levi-Civita, 1982. "Risoluzione dell’ equazione funzionale che caratterizza le onde periodiche in un canale molto profondo," Springer Books, in: Festschrift, pages 256-279, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-61810-9_33
    DOI: 10.1007/978-3-642-61810-9_33
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