Asymptotic analysis of surface waves due to high-frequency disturbances
Kuznetsov, Nikolay ; Maz'ya, Vladimir Gilelevich
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997), p. 5-29 / Harvested from Biblioteca Digitale Italiana di Matematica
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The present paper is devoted to the asymptotic analysis of the linear unsteady surface waves. We study two problems concerned with high-frequency surface and submerged disturbances. The two-scale asymptotic series are obtained for the velocity potential. The principal terms in the asymptotics of some hydrodynamical characteristics of the wave motion (the free surface elevation, the energy, etc.) are described.

Il lavoro è dedicato all'analisi asintotica delle onde lineari di superficie instabile. Si studiano due problemi relativi le superfici di alta frequenza e i relativi fenomeni di disturbo. Le serie asintotiche sono ottenute per il potenziale di velocità. Vengono poi descritti i termini principali nelle parti asintotiche di alcune caratteristiche idrodinamiche del moto delle onde.

Publié le : 1997-04-01
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     author = {Nikolay Kuznetsov and Vladimir Gilelevich Maz'ya},
     title = {Asymptotic analysis of surface waves due to high-frequency disturbances},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {8},
     year = {1997},
     pages = {5-29},
     zbl = {0894.76010},
     mrnumber = {1484542},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1997_9_8_1_5_0}
}

Kuznetsov, Nikolay; Maz'ya, Vladimir Gilelevich. Asymptotic analysis of surface waves due to high-frequency disturbances. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997) pp. 5-29. http://gdmltest.u-ga.fr/item/RLIN_1997_9_8_1_5_0/

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