Asymptotic analysis of surface waves due to high-frequency disturbances
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 1, pp. 5-29

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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.
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     title = {Asymptotic analysis of surface waves due to high-frequency disturbances},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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Kuznetsov, Nikolay; Maz'ya, Vladimir Gilelevich. Asymptotic analysis of surface waves due to high-frequency disturbances. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 1, pp. 5-29. http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a0/