Geodesic
Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1062-1086

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Propagation of small perturbations in a two-layer inviscid stratified fluid is studied. It is assumed that the higher density fluid occupies the lower unbounded half-space, while the lower density fluid occupies the upper unbounded half-space. The source of the excitation is a plane wave traveling along the interface of the fluids. An explicit analytical solution to the problem is constructed, and its existence and uniqueness are proved. The long-time wave pattern developing in the fluids is analyzed. 
@article{ZVMMF_2008_48_6_a10,
     author = {L. V. Perova},
     title = {Propagation of perturbations in a~two-layer stratified fluid with an interface excited by moving sources},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1062--1086},
     publisher = {mathdoc},
     volume = {48},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a10/}
}
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L. V. Perova. Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1062-1086. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a10/