STABILITY AND SMALL OSCILLATIONS OF A PAR TICULAR CONFIGURATION OF LIQUID IN A CONTAINER OF REVOLUTION UNDER ZERO-GRAVITY

Authors
CAPODANNO P
Citation
P. Capodanno, STABILITY AND SMALL OSCILLATIONS OF A PAR TICULAR CONFIGURATION OF LIQUID IN A CONTAINER OF REVOLUTION UNDER ZERO-GRAVITY, Bulletin of the Polish Academy of Sciences. Chemistry, 42(1), 1994, pp. 13-25
Citations number
22
Categorie Soggetti
Chemistry
Journal title
Bulletin of the Polish Academy of Sciences. Chemistry → ACNP
ISSN journal
02397285
Volume
42
Issue
1
Year of publication
1994
Pages
13 - 25
Database
ISI
SICI code
0239-7285(1994)42:1<13:SASOOA>2.0.ZU;2-T
Abstract
The author studies the stability of an equilibrium position under zero gravity of a liquid set in a container of revolution when the free su rface is a circular cylinder with the same axis, and its small oscilla tions about this position. The problem is reduced to a functional equa tion in a suitable Hilbert space. Using methods of functional analysis , the author analysis, the author gives sufficient conditions of stabi lity and proves the existence of eigenfrequencies.