caa a22 4500 605524068 CHVBK 20210128100752.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10958-015-2292-x doi (NATIONALLICENCE)springer-10.1007/s10958-015-2292-x On the spectral criterion of stability in the problem of small motions of an ideal capillary fluid with disconnected free surface [Elektronische Daten] [Nikolay Kopachevsky, Zera Sitshayeva] This paper deals with the problem of static stability of the equilibrium state and the problem of stability of small (linear) movements of an ideal incompressible fluid in the open vessel with holes in the bottom. The gravitational forces and the surface tension are taken into account. We consider a case where the equilibrium surface of the fluid is curvilinear and corresponds to an arbitrary contact angle. Using the operator approach, we obtain the sufficient conditions for static and dynamic stabilities and propose a method of determination of the equilibrium surface. Springer Science+Business Media New York, 2015 Incompressible fluid nationallicence surface tension nationallicence operator approach nationallicence static stability nationallicence dynamic stability nationallicence Kopachevsky Nikolay Faculty of Mathematics and Informatics, V. I. Vernadsky Taurida National University, 4, Academician Vernadsky Prosp., 95007, Simferopol, Russia aut Sitshayeva Zera Faculty of Informatics, Crimea Engineering-Pedagogical University, 8, Uchebnyi L., Sevastopol'skaya Str., 95015, Simferopol, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/1(2015-04-01), 39-57 1072-3374 206:1<39 2015 206 10958 https://doi.org/10.1007/s10958-015-2292-x 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/s10958-015-2292-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kopachevsky Nikolay Faculty of Mathematics and Informatics, V. I. Vernadsky Taurida National University, 4, Academician Vernadsky Prosp., 95007, Simferopol, Russia aut NATIONALLICENCE 700 1- Sitshayeva Zera Faculty of Informatics, Crimea Engineering-Pedagogical University, 8, Uchebnyi L., Sevastopol'skaya Str., 95015, Simferopol, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/1(2015-04-01), 39-57 1072-3374 206:1<39 2015 206 10958