Geodesic
Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 422-435

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We study the problem on small oscillations of an ideal stratified fluid in a vessel with a free surface completely covered with the elastic ice. The developed approach is based on application of the theory of operator matrices acting in the Hilbert space, the initial boundary value problem is reduced to the Cauchy problem for differential-operator of a special form. For this Cauchy problem a theorem on strong solvability is proved.
Keywords: stratification effect in ideal fluids, initial boundary value problem, differential equation in Hilbert space, Cauchy problem, strong solution. 
@article{SEMR_2018_15_a89,
     author = {D. O. Tsvetkov},
     title = {Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {422--435},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a89/}
}
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D. O. Tsvetkov. Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 422-435. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a89/