Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 422–435
This article is cited in 1 scientific paper (total in 1 paper)
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
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.
stratification effect in ideal fluids, initial boundary value problem, differential equation in Hilbert space, Cauchy problem, strong solution.
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MSC: 35Q35, 35D35
Received August 14, 2017, published April 26, 2018
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
\paper Small motions of an ideal stratified fluid with a free surface completely covered with the elastic ice
\jour Sib. \`Elektron. Mat. Izv.
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This publication is cited in the following articles:
D. O. Tsvetkov, “Malye dvizheniya idealnoi stratifitsirovannoi zhidkosti, chastichno pokrytoi uprugim ldom”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:3 (2018), 328–347
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