caa a22 4500 605521832 CHVBK 20210128100742.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2281-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2281-0 Gazheva I. Vernadskii Tavriya National University, Simferopol', 4 Vernadskii Avenue, 95000, Simferopol', Ukraine aut On the Natural Oscillations of a System of Thin Layers of Rotating Ideal Liquid [Elektronische Daten] [I. Gazheva] We consider the problem of small motions of a system of thin layers of rotating ideal liquid and the problem of natural oscillations encountered in analyzing the initial boundary-value problem for a nonrotating system in the case where all physical quantities are set equal to one.. The equations and boundary conditions of the corresponding initial boundary-value problem are considered in the so-called shallow-water approximation in which the transverse dimensions of the layers are much smaller than the longitudinal dimensions and the motion of liquid occurs mainly in the horizontal direction. We study the main operator of a simplified problem appearing in the analysis of small motions of a system of thin layers of rotating ideal liquid. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/6(2015-03-01), 757-767 1072-3374 205:6<757 2015 205 10958 https://doi.org/10.1007/s10958-015-2281-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2281-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gazheva I. Vernadskii Tavriya National University, Simferopol', 4 Vernadskii Avenue, 95000, Simferopol', Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/6(2015-03-01), 757-767 1072-3374 205:6<757 2015 205 10958