On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 932-947
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Propagation of small perturbations in a homogeneous inviscid liquid rotating with a constant angular velocity in the lower half-space is considered. The source of excitation is a plane wave traveling on the free surface of the liquid. The explicit analytical solution to the problem is constructed. Uniqueness and existence theorems are proved. The wave pattern in the liquid at large times is examined.
@article{ZVMMF_2006_46_5_a11,
author = {L. V. Perova},
title = {On oscillations of a~semi-infinite rotating liquid with its free surface excited by moving sources},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {932--947},
publisher = {mathdoc},
volume = {46},
number = {5},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a11/}
}
TY - JOUR AU - L. V. Perova TI - On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 932 EP - 947 VL - 46 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a11/ LA - ru ID - ZVMMF_2006_46_5_a11 ER -
%0 Journal Article %A L. V. Perova %T On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 932-947 %V 46 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a11/ %G ru %F ZVMMF_2006_46_5_a11
L. V. Perova. On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 932-947. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a11/