Oscillations of semi-infinite stratified fluid with its free surface excited by moving sources
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 6, pp. 1107-1124

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The propagation of perturbations in a stratified inviscid fluid filling the lower half-space is studied. A plane wave traveling on the free surface of the fluid is chosen as an exciting source. An explicit analytical solution to the problem is constructed, the existence and uniqueness theorems are proved, and the long-time wave pattern in the fluid is investigated.
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     author = {L. V. Perova},
     title = {Oscillations of semi-infinite stratified fluid with its free surface excited by moving sources},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1107--1124},
     publisher = {mathdoc},
     volume = {45},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a12/}
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L. V. Perova. Oscillations of semi-infinite stratified fluid with its free surface excited by moving sources. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 6, pp. 1107-1124. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a12/