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
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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.
@article{RLIN_1997_9_8_1_a0,
author = {Kuznetsov, Nikolay and Maz'ya, Vladimir Gilelevich},
title = {Asymptotic analysis of surface waves due to high-frequency disturbances},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {5--29},
publisher = {mathdoc},
volume = {Ser. 9, 8},
number = {1},
year = {1997},
zbl = {0894.76010},
mrnumber = {MR1484542},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a0/}
}
TY - JOUR AU - Kuznetsov, Nikolay AU - Maz'ya, Vladimir Gilelevich TI - Asymptotic analysis of surface waves due to high-frequency disturbances JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1997 SP - 5 EP - 29 VL - 8 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a0/ LA - en ID - RLIN_1997_9_8_1_a0 ER -
%0 Journal Article %A Kuznetsov, Nikolay %A Maz'ya, Vladimir Gilelevich %T Asymptotic analysis of surface waves due to high-frequency disturbances %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1997 %P 5-29 %V 8 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a0/ %G en %F RLIN_1997_9_8_1_a0
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/