caa a22 4500 605521867 CHVBK 20210128100742.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2283-y doi (NATIONALLICENCE)springer-10.1007/s10958-015-2283-y On the Equilibrium and Stability of a Capillary Liquid with Disconnected Free Surface in an Open Vessel [Elektronische Daten] [N. Kopachevskii, Z. Sitshaeva] We consider the problem of stability of the equilibrium state of an ideal liquid placed in a cylindrical vessel containing a hole made in the bottom with regard for the gravity and capillary forces. A spectral criterion for the stability of the equilibrium state of the analyzed liquid is obtained. It is shown that the stability of the equilibrium state is lost if the upper part of the free surface suffers translational perturbations. We propose algorithms for the determination the free surface of liquid and the boundary of the domain of its stability. Springer Science+Business Media New York, 2015 Kopachevskii N. Vernadskii Tavriya National University, 4 Vernadskii Avenue, 95007, Simferopol', Ukraine aut Sitshaeva Z. Crimean Engineering-Pedagogic University, 8 Uchebnyi per., 95015, Simferopol', Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/6(2015-03-01), 777-790 1072-3374 205:6<777 2015 205 10958 https://doi.org/10.1007/s10958-015-2283-y 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/s10958-015-2283-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kopachevskii N. Vernadskii Tavriya National University, 4 Vernadskii Avenue, 95007, Simferopol', Ukraine aut NATIONALLICENCE 700 1- Sitshaeva Z. Crimean Engineering-Pedagogic University, 8 Uchebnyi per., 95015, Simferopol', Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/6(2015-03-01), 777-790 1072-3374 205:6<777 2015 205 10958