Open Access

On stability and instability of small motions of hydrodynamical systems

Abstract

We give a short survey of an operator approach to some linear evolution and spectral problems of hydrodynamics: small motions and normal oscillations of a heavy or capillary fluid, a partially filled cavity in a moving or immovable vessel. The main attention is given to the problem of stability and instability of these hydromechanical systems with an infinite number of degrees of freedom.

Article Information

 Title On stability and instability of small motions of hydrodynamical systems Source Methods Funct. Anal. Topology, Vol. 13 (2007), no. 2, 152-168 MathSciNet MR2336718 Copyright The Author(s) 2007 (CC BY-SA)

Authors Information

N. D. Kopachevsky
Mathematics and Computer Science Faculty, Taurida National V. Vernadsky University, 4 Vernadsky Av., Simferopol, 95007, Ukraine

Citation Example

N. D. Kopachevsky, On stability and instability of small motions of hydrodynamical systems, Methods Funct. Anal. Topology 13 (2007), no. 2, 152-168.

BibTex

@article {MFAT409,
AUTHOR = {Kopachevsky, N. D.},
TITLE = {On stability and instability of small motions of hydrodynamical systems},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {13},
YEAR = {2007},
NUMBER = {2},
PAGES = {152-168},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=409},
}