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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 422–435
DOI: https://doi.org/10.17377/semi.2018.15.038 (Mi semr929) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Differentical equations, dynamical systems and optimal control

Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice

D. O. Tsvetkov

Crimean Federal University, Taurida Academy, pr. Vernadskogo, 4, 295007, Simferopol, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.038
Abstract: 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.
Received August 14, 2017, published April 26, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 35Q35, 35D35
Language: Russian
Citation: D. O. Tsvetkov, “Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice”, Sib. Èlektron. Mat. Izv., 15 (2018), 422–435
Citation in format AMSBIB
\Bibitem{Tsv18}
\by D.~O.~Tsvetkov
\paper Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 422--435
\mathnet{http://mi.mathnet.ru/semr929}
\crossref{https://doi.org/10.17377/semi.2018.15.038}
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