Small oscillations of magnetizable ideal fluid
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010), pp. 383-395

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The small oscillations of a magnetizable ideal fluid in partially filled vessel are considered. Solvability of the initial-boundary problem is proved and the generic properties of the frequencies spectrum of normal free oscillations of fluid are determined. The principle of minimum of the potential energy in the problem on the stability of the fluid equilibrium states is proved.
@article{JMAG_2010_6_a2,
     author = {I. D. Borisov and T. Yu. Yatsenko},
     title = {Small oscillations of magnetizable ideal fluid},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {383--395},
     publisher = {mathdoc},
     volume = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2010_6_a2/}
}
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I. D. Borisov; T. Yu. Yatsenko. Small oscillations of magnetizable ideal fluid. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010), pp. 383-395. http://geodesic.mathdoc.fr/item/JMAG_2010_6_a2/