On the Equilibrium and Stability of a Capillary Liquid with Disconnected Free Surface in an Open Vessel
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2283-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2283-y | ||
| 245 | 0 | 0 | |a On the Equilibrium and Stability of a Capillary Liquid with Disconnected Free Surface in an Open Vessel |h [Elektronische Daten] |c [N. Kopachevskii, Z. Sitshaeva] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Kopachevskii |D N. |u Vernadskii Tavriya National University, 4 Vernadskii Avenue, 95007, Simferopol', Ukraine |4 aut | |
| 700 | 1 | |a Sitshaeva |D Z. |u Crimean Engineering-Pedagogic University, 8 Uchebnyi per., 95015, Simferopol', Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/6(2015-03-01), 777-790 |x 1072-3374 |q 205:6<777 |1 2015 |2 205 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2283-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2283-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kopachevskii |D N. |u Vernadskii Tavriya National University, 4 Vernadskii Avenue, 95007, Simferopol', Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sitshaeva |D Z. |u Crimean Engineering-Pedagogic University, 8 Uchebnyi per., 95015, Simferopol', Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/6(2015-03-01), 777-790 |x 1072-3374 |q 205:6<777 |1 2015 |2 205 |o 10958 | ||